List of Publications by MUROFUSHI, Toshiaki

(only publications in English)
Edited Book
  1. M. Grabisch, T. Murofushi, and M. Sugeno, eds.: Fuzzy Measures and Integrals: Theory and Applications, Physica-Verlag, 2000.
  2. T. Murofushi, W. Takahashi, and M. Tsukada, eds.: Applied Functional Analysis: Information Sciences and Related Fields, Yokohama Publ., 2007. [ISBN 978-4-946552-28-1] (contents; pdf, 37KB)
  3. S. Li, X. Wang, Y. Okazaki, J. Kawabe, T. Murofushi, and G. Li, eds.: Nonlinear Mathematics for Uncertainty and its Applications, Springer, 2011.
Papers in Edited Volumes
  1. T. Murofushi and M. Sugeno: Fuzzy measures and fuzzy integrals, in: Fuzzy Measures and Integrals: Theory and Applications, M. Grabisch, T. Murofushi, and M. Sugeno, eds., (Physica-Verlag, 2000) pp. 3-41.
  2. K. Fujimoto and T. Murofushi: Hierarchical decomposition of the Choquet integral, in: Fuzzy Measures and Integrals: Theory and Applications, M. Grabisch, T. Murofushi, and M. Sugeno, eds., (Physica-Verlag, 2000) pp. 94-103.
  3. T. Murofushi and M. Sugeno: The Choquet integral in multiattribute decision making, in: Fuzzy Measures and Integrals: Theory and Applications, M. Grabisch, T. Murofushi, and M. Sugeno, eds., (Physica-Verlag, 2000) pp. 333-347.
  4. Y. Narukawa, T. Murofushi, and M. Sugeno: Representation of comonotonically additive functional by Choquet integral, in: Information, Uncertainty and Fusion, B. Bouchon-Meuneir, R.R. Yager, and L.A. Zadeh, eds., (Kluwer, 2000) pp. 93-104.
  5. Y. Narukawa, T. Murofushi, M. Sugeno: Integral representations and decision theory, in: Technologies for Contructing Intelligent Systems 1: Tasks, B. Bouchon-Meunier, J. Gutierrez-Rios, L. Magdalena, R.R. Yager, eds., (Physica-Verlag, 2002) pp. 153-166. [ISBN 3-7908-1454-7]
  6. Y. Narukawa and T. Murofushi: Choquet integral and Sugeno integral as aggregation funcitons, in: Information Fusion in Data Mining , V. Torra, ed., (Springer, 2003) pp. 27-39.
  7. T. Murofushi, Y. Sawata, and K. Fujimoto: Additive decompositions of submodular set functions and their generalizations, in: Applied Functional Analysis: Information Sciences and Related Fields, T. Murofushi, W. Takahashi, and M. Tsukada, eds., (Yokohama Publ., 2007) pp. 73-88.
[Top of this page]
Papers in Refereed Journals
  1. M. Sugeno and T. Murofushi: Pseudo-additive measures and integrals, J. Math. Anal. Appl., vol.122, no.1 (1987) pp. 197-222.
  2. T. Murofushi and M. Sugeno: An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure, Fuzzy Sets and Systems, vol.29, no.2 (1989) pp. 201-227.
  3. M. Sugeno, T. Murofushi, T. Mori, T. Tatematsu, and J. Tanaka : Fuzzy algorithmic control of a model car by oral instructions, Fuzzy Sets and Systems, vol.32, no.2 (1989) pp. 207-219.
  4. T. Murofushi and M. Sugeno: Fuzzy t-conorm integral with respect to fuzzy measures: generalization of Sugeno integral and Choquet integral, Fuzzy Sets and Systems, vol.42, no.1 (1991) pp. 57-71.
  5. T. Murofushi and M. Sugeno: A theory of fuzzy measures: representations, the Choquet integral, and null sets, J. Math. Anal. Appl., vol.159, no.2 (1991) pp. 532-549.
  6. M. Grabisch, T. Murofushi, and M. Sugeno: Fuzzy measure of fuzzy events defined by fuzzy integrals, J. Japan Soc. Fuzzy Theory and Systems, vol.3, no.3 (1991) pp. 557-569.
  7. M. Grabisch, T. Murofushi, and M. Sugeno: Fuzzy measure of fuzzy events defined by fuzzy integrals, Fuzzy Sets and Systems, vol.50, no.3 (1992) pp. 293-313．
  8. T. Murofushi and M. Sugeno: Continuous-from-above possibility measures and F-additive fuzzy measures: characterization and regularity, Fuzzy Sets and Systems, vol.54, no.3 (1993) pp. 351-354.
  9. T. Murofushi and M. Sugeno: Some quantities represented by the Choquet integral, Fuzzy Sets and Systems, vol.56, no.2 (1993) pp. 229 -235.
  10. T. Murofushi, M. Sugeno, and M. Machida: Non-monotonic fuzzy measures and the Choquet integral, Fuzzy Sets and Systems, vol.64, no.1 (1994) pp. 73-86.
  11. M. Sugeno, K. Fujimoto, and T. Murofushi: A hierarchical decomposition of Choquet integral models, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.3, no.1 (1995) pp. 1-15.
  12. T. Murofushi, M. Sugeno, and M. Suzaki: Autocontinuity, convergence in measure, and convergence in distribution, Fuzzy Sets and Systems, vol.92, no.2 (1997) pp. 197-203.
  13. K. Fujimoto and T. Murofushi, Some characterizations of the systems represented by Choquet and multi-linear functional through the use of Mobius inversion, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 5, no.5 (1997) pp. 547-561.
  14. T. Murofushi, M. Sugeno, and K. Fujimoto: Separated hierarchical decomposition of the Choquet integral, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 5, no.5 (1997) pp. 563-585.
  15. T. Murofushi, K. Fujimoto, and M. Sugeno, Canonical separated hierarchical decomposition of Choquet integral over a finite set, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 6, no.3 (1998) pp. 257-272.
  16. M. Sugeno, Y. Narukawa, and T. Murofushi: Choquet integral and fuzzy measures on locally compact spaces, Fuzzy Sets and Systems, vol.99, no.2 (1998) pp. 205-211.
  17. K. Fujimoto, T. Murofushi, and M. Sugeno, Canonical hierarchical decomposition of Choquet integral over finite set with respect to null additive fuzzy measure, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 6, no.4 (1998) pp. 345-363.
  18. Y. Narukawa, T. Murofushi, and M. Sugeno: Regular fuzzy measure and representation of comonotonically additive functional, Fuzzy Sets and Systems, vol. 112, No. 2 (2000) pp. 177-186.
  19. T. Murofushi and M. Sugeno: Choquet integral models and independence concepts in multiattribute utility theory, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 8, no. 4 (2000) pp. 385-415.
  20. Y. Narukawa, T. Murofushi, and M. Sugeno: Boundedness and symmetry of comonotonically additive functionals, Fuzzy Sets and Systems, vol. 118, no. 3 (2001) pp. 539-545.
  21. Y. Narukawa, T. Murofushi and M. Sugeno: Extension and representation of comonotonically additive functionals, Fuzzy Sets and Systems, vol. 121, no. 2 (2001) pp. 217-226
  22. T. Murofushi and K. Fujimoto, Set-operational properties of semiatoms in non-additive measure theory, J. of Math. Anal. Appl., vol. 263, no. 2 (2001) pp. 637-654.
  23. T. Murofushi: Lexicographic use of Sugeno integrals and monotonicity conditions, IEEE trans. Fuzzy Systems, vol. 9, no. 6 (2001) pp. 785-794.
  24. T. Murofushi: Two-valued possibility measures induced by σ-finite σ-additive measures, Fuzzy Sets and Systems, vol. 126, no. 2 (2002) pp. 265-268.
  25. Y. Narukawa and T. Murofushi: Conditions for Choquet integral representation of the comonotonically additive and monotone functional, J. Math. Anal. Appl. vol. 282, no. 1 (2003) pp. 201-211.
  26. Y. Narukawa, T. Murofushi, and M. Sugeno: Space of fuzzy measures and convergence, Fuzzy Sets and Systems, vol. 138, no. 3 (2003) pp. 497-506.
  27. T. Murofushi: Duality and ordinality in fuzzy measure theory, Fuzzy Sets and Systems, vol. 138, no. 3 (2003) pp. 523-535.
  28. T. Murofushi: A note on upper and lower Sugeno integrals, Fuzzy Sets and Systems, vol. 138, no. 3 (2003) pp. 551-558.
  29. Y. Narukawa and T. Murofushi: Regular non-additive measure and Choquet integral, Fuzzy Sets and Systems, vol. 143, no. 3 (2004) pp. 487-492.
  30. T. Murofushi, K. Uchino, and S. Asahina: Conditions for Egoroff's theorem in non-additive measure theory, Fuzzy Sets and Systems, vol. 146, no. 1 (2004) pp. 135-146.
  31. T. Murofushi: Semiatoms in Choquet integral models of multiattribute decision making, J. of Advanced Computational Intelligence & Intelligent Informatics , vol. 9, no. 5 (2005) pp. 477-483.
  32. K. Fujimoto and T. Murofushi: Some characterizations of k-Monotonicity through the bipolar Möbius transform in bi-capacities, J. of Advanced Computational Intelligence & Intelligent Informatics, vol. 9, no.5 (2005) pp. 484-495.
  33. S. Asahina, K. Uchino, and T. Murofushi: Relationship among continuity conditions and null-additivity conditions in non-additive measure theory, Fuzzy Sets and Systems, vol. 157, no. 5 (2006) pp. 691-698.
    S. Asahina, K. Uchino, and T. Murofushi: Erratum to ``Relationship among continuity conditions and null-additivity conditions in non-additive measure theory'' [Fuzzy Sets and Systems 157 (2006) 691-698], Fuzzy Sets and Systems, vol. 157, no. 15 (2006) p. 2144.
  34. Y. Narukawa and T. Murofushi: Representation of Choquet integral — interpreter and Möbius transform, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 14, no. 5 (2006) pp. 579-589.
  35. K. Fujimoto and T. Murofushi: Some relations among values, interactions, and decomposable structures, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 15, no. 2 (2007) pp. 175-191.
  36. K. Fujimoto, T. Murofushi, M. Sugeno: k-Additivity and C-decomposability of bi-capacities and its integral, Fuzzy Sets and Systems, vol. 158, no. 15 (2007) pp. 1698-1712.
  37. T. Murofushi: Extensions of (weakly) null-additive, monotone set functions from rings of subsets to generated algebras, Fuzzy Sets and Systems, vol. 158, no. 21 (2007) pp. 2422-2428.
  38. Y. Narukawa and T. Murofushi: Choquet-stieltjes integral as a tool for decision modeling, Int. J. of Intelligent Systems, vol. 23, no. 2 (2008) pp. 115--127.
  39. M. Takahashi, T. Murofushi, and S. Asahina: A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory, Fuzzy Sets and Systems, vol. 244, no. 1 (2014) pp. 34–40.
  40. T. Sakurai and T. Murofushi: Linear complementarity representation of piecewise linear functions, IMA Journal of Applied Mathematics, vol. 80, no. 4 (2014) pp. 1178–1198, doi: 10.1093/imamat/hxu047
  41. T. Murofushi and S. Sujino, A sufficient condition for a strong form of the Egorov theorem in non-additive measure theory, Linear and Nonlinear Analysis, vol. 3, No. 3 (2017) 385–391.
  42. R. Kojima, R. Legaspi, and T. Murofushi, Fuzzy Clustering in Assortative and Disassortative Networks, Journal of Advanced Computational Intelligence and Intelligent Informatics, vol. 25, no. 6 (2021) pp. 989–999.
[Top of this page]
Papers in Refereed Conferences
  1. M. Sugeno and T. Murofushi: Choquet's integral as an integral form for a general class of fuzzy measures, Preprint of 2nd Intern. Fuzzy System Association World Congress, vol. 1 (IFSA 1987) pp. 408-411.
  2. M. Sugeno, T. Murofushi, T. Mori, T. Tatematsu, and J. Tanaka : Fuzzy algorithmic control of a model car by oral instructions, Preprint of 2nd Intern. Fuzzy System Association World Congress, vol. 2 (IFSA 1987) pp. 817-820.
  3. T. Murofushi and M. Sugeno: Null sets with respect to fuzzy measures, Proc. 3rd Intern. Fuzzy System Association World Congress (IFSA 1989) pp. 172-175.
  4. M. Sugeno, T. Murofushi, J. Nishino, and H. Miwa: Helicopter flight control based on fuzzy logic, Proc. International Fuzzy Engineering Sysmposium '91, vol.2 (1991) pp. 1120-1121.
  5. T. Murofushi and M. Sugeno: Non-additivity of fuzzy measures representing preferential dependence, Proc. 2nd Int. Conf. Fuzzy Logic and Neural Networks, vol.2 (IIZUKA 1992) pp. 617-620.
  6. M. Sugeno, K. Fujimoto, and T. Murofushi: Hierarchical decomposition theorems for Choquet integral models, Proc. FUZZ-IEEE/IFES '95 (1995) pp. 2245-2252.
  7. Y. Narukawa, T. Murofushi, and M. Sugeno: The comonotonically additive functional on the class of continuous functions with compact support, Proc. FUZZ-IEEE '97 (1997) pp. 845-851.
  8. T. Murofushi, M. Sugeno, and K. Fujimoto: Separated hierarchical decomposition of Choquet integral, 4th Int. Conf. Fuzzy Sets Theory and Its Applications, ABSTRACTS (FSTA 1998) p. 82.
  9. Y. Narukawa, T. Murofushi, and M. Sugeno: Representation of Comonotonically Additive Functional by Choquet Integral, Proc. 7th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU '98) (1998) pp. 1569-1576.
  10. Y. Narukawa, T. Murofushi, and M. Sugeno: Space of fuzzy measures and representations, Proc. 8th International Fuzzy System Association World Congress, (IFSA 1999) pp. 911-914.
  11. Y. Narukawa, T. Murofushi, and M. Sugeno: Conditions for Choquet integral representations, Proc. 8th International Fuzzy System Association World Congress, (IFSA 1999) pp. 920-924.
  12. T. Murofushi: A counterexample to Mesiar's hypothesis, 5th Int. Conf. Fuzzy Sets Theory and Its Applications, Abstracts, (FSTA 2000) p. 139.
  13. T. Murofushi, M. Sugeno, and K. Fujimoto: Hierarchical decomposition of the Choquet integral, Proc. 2nd China and Japan Joint Symposium on Applied Mathematics and its Related Topics, (2000) pp. 97-110.
  14. Y. Narukawa, T. Murofushi, and M. Sugeno: Integral Representations and Decision Theory, Proc. 8th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2000) pp. 283-290.
  15. Y. Narukawa, T. Murofushi, and M. Sugeno: Space of Fuzzy Measures and Convergence, Proc. 8th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2000) pp. 569-573.
  16. Y. Narukawa and T. Murofushi: Regular Fuzzy Measure and Choquet Integral, Proc. 8th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2000) pp. 586-591.
  17. Y. Narukawa and T. Murofushi: Representation of the Choquet Integral Proc. 6th Int. Conf. Soft Computing (IIZUKA 2000) pp. 996-1001.
  18. Y. Narukawa, M. Sugeno, and T. Murofushi: Space of fuzzy measures and representation of Choquet Integral, Proc. International Fuzzy Systems Association and The North American Fuzzy Information Processing Society Joint Conference (2001) pp. 167-172.
  19. Y. Narukawa and T. Murofushi: Comonotonically additive functional and regular non-additive measure, Proc. 2nd Int. Conf. Nonlinear Analysis and Convex Analysis, 2001, (2003) pp. 321-330.
  20. Y. Narukawa, T. Murofushi, and M. Sugeno: Additive representations of Choquet integral, Proc. 2nd Int. Conf. Nonlinear Analysis and Convex Analysis, 2001, (2003) pp. 331-340.
  21. Toshiaki Murofushi and Yasuo Narukawa: A characterization of multi-step discrete Choquet integral, 6th Int. Conf. Fuzzy Sets Theory and Its Applications, Abstracts, (FSTA 2002) p. 94.
  22. Yasuo Narukawa and Toshiaki Murofushi: The n-step Choquet integral on finite spaces, Proc. 9th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2002) 539-543.
  23. Yasuo Narukawa and Toshiaki Murofushi: Choquet integral representation and preference, Proc. 9th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU 2002) 747-753.
  24. Kenta Uchino, Toshiaki Murofushi: Relations between mathematical properties of fuzzy measures, Proc. 10th International Fuzzy System Association World Congress (IFSA 2003) 27-30.
  25. T. Murofushi, Y. Sawata, and K. Fujimoto: Decomposition of fuzzy measures into a sum of fuzzy measures on subdomains, Proc. 10th International Fuzzy System Association World Congress (IFSA 2003) 159-162.
  26. Y. Narukawa and T. Murofushi: Decisions under risk and uncertainty through the use of Choquet integral, Proc. 4th Int. Symp. on Advanced Intelligent Systems (ISIS 2003) 555-558.
  27. Y. Narukawa and T. Murofushi: Choquet integral with respect to a regular non-additive measures, Proc. 2004 IEEE Int. Conf. Fuzzy Systems (FUZZ-IEEE 2004) 517-521 (paper# 0088-1199).
  28. Y. Narukawa and T. Murofushi: Decision modelling using the Choquet integral, Proc. Modeling Decisions for Artificial Intelligence 2004, (MDAI 2004) 183-193.
  29. S. Asahina, K. Uchino, & T. Murofushi: Relationships among continuity conditions and null-additivity conditions in non-additive measure theory, Proc. Joint 2nd Int. Conf. Soft Comp. & Intell. Syst. and 5th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2004) FA-1-1.
  30. T. Sakurai & T. Murofushi: The Choquet integral as a piecewise linear function and Chua's canonical form, Proc. Joint 2nd Int. Conf. Soft Comp. & Intell. Syst. and 5th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2004) FA-1-2.
  31. M. Takahashi & T. Murofushi: Relationship between convergence concepts in fuzzy measure theory, Proc. 11th International Fuzzy Systems Association World Congress, vol. I (IFSA 2005) 467-473.
  32. R. Kojima & T. Murofushi: Idea generation support system by visual display of WEB retrieval results, Joint 3rd Int. Conf. Soft Comp. & Intell. Syst. and 7th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2006) FR-G3-2, pp. 1163-1164.
  33. M. Taya & T. Murofushi: Fuzzy measure identification for the bootstrapped Choquet integral model in multi-criteria decision making, Joint 3rd Int. Conf. Soft Comp. & Intell. Syst. and 7th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2006) FR-F4-6, pp. 1402-1407.
  34. K. Fujimoto, T. Murofushi, & Y. Sawata: Some existence conditions for decomposable k-monotone set functions having no k'-monotone decompositions, Joint 3rd Int. Conf. Soft Comp. & Intell. Syst. and 7th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2006) FR-G4-5, pp. 1431-1434.
  35. M. Taya and T. Murofushi: Landmarks extraction based on relation among building facades, Proc. Joint 4th Int. Conf. Soft Comp. & Intell. Syst. and 9th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2008) pp. 1804–1809.
  36. S. Asahina, K. Uchino, T. Murofushi: Null-continuity, dense pack property and pseudometric generating property of non-additive measures, Proc. Joint 4th Int. Conf. Soft Comp. & Intell. Syst. and 9th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2008) pp. 1810–1814.
  37. M. Takahashi and T. Murofushi: New conditions for the Egoroff theorem in non-additive measure theory, Integrated Uncertainty Management and Applications (Proc. 2010 International Symposium on Integrated Uncertainty Management and Applications), V.-N. Huynh et al. (eds.), Springer, (2010) pp. 83–89.
  38. S. Nakamura, T. Takasawa, T. Murofushi: Upper derivatives of set functions represented as the Choquet indefinite integral, Nonlinear Mathematics for Uncertainty and its Applications (Proc. NLMUA2011), S. Li et al. (eds.), Springer, (2011) pp. 61–68.
  39. M. Ohki & T. Murofushi: Proposal of the group decision making method that average the distance between opinions, Proc. International Symposium on Soft Computing sponsored by ASPIRE LEAGUE, (2012) GS1-1.
  40. M. Ohki & T. Murofushi: A ranking methodology using a new dispersion criterion on a group decision making, Proc. Joint 6th Int. Conf. Soft Comp. & Intell. Syst. and 13th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2012) pp. 1649–1653.
  41. S. Nakamura & T. Murofushi: A note on the representation of the Choquet integral based on the derivative of fuzzy measure, Proc. Joint 7th Int. Conf. Soft Comp. & Intell. Syst. and 15th Int. Symp. Adv. Intell. Syst. (SCIS & ISIS 2014), pp. 1597–1599.
[Top of this page]
Papers in RIMS Kôkyûroku
  1. Toshiaki Murofushi : Choquet integral models and the multiattribute utility theory, RIMS Kokyuroku 975 (1996) pp. 189-201.
  2. Yasuo Narukawa, Toshiaki Murofushi, Michio Sugeno : Representation of comonotonically additive functional, RIMS Kokyuroku 1039 (1998) pp. 37-52.
  3. Yasuo Narukawa and Toshiaki Murofushi : Conditions for Choquet Integral Representation, RIMS Kokyuroku 1100 (1999) pp. 94-108.
  4. Yasuo Narukawa and Toshiaki Murofushi : Space of fuzzy measures, RIMS Kokyuroku 1186, (2001) pp. 205-215.
  5. Y. Narukawa & T. Murofushi : Representations of Choquet Integral, RIMS Kokyuroku 1253 (2002) pp. 73-86.
  6. Y. Narukawa & T. Murofushi : Regular non-additive measure and Choquet Integral, RIMS Kokyuroku 1340 (2003) pp. 56-64.
  7. Y. Narukawa & T. Murofushi : On regular non-additive measures, RIMS Kokyuroku 1396 (2004) pp. 100-111.
  8. T. Sakurai & T. Murofushi : The Choquet integral as a piecewise linear function, RIMS Kokyuroku 1396 (2004) pp. 112-123.
  9. S. Asahina, K. Uchino, & T. Murofushi : Relationship among continuity conditions and null-additive conditions in non-additive measure theory, RIMS Kokyuroku 1452 (2005) pp. 1-10.
  10. M. Takahashi, S. Asahina, & T. Murofushi : Conditions for convergence theorems in non-additive measure theory, RIMS Kokyuroku 1452 (2005) pp. 11-21.
  11. T. Sakurai & T. Murofushi : ULT-minimal realization of piecewise linear functions, RIMS Kokyuroku 1452 (2005) pp. 22-29.
  12. T. Murofushi : Extensions of (weakly) null-additive, monotone set functions from rings to generated algebras, RIMS Kokyuroku 1561 (2007) pp. 71-78.
  13. T. Murofushi, K. Fujimoto, & Y. Sawata : Additive indecomposability of submodular set functions and its generalization, RIMS Kokyuroku 1585 (2008) pp. 115–119.
  14. M. Takahashi, T. Murofushi, & S. Asahina: A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory, RIMS Kokyuroku 1906 (2014) pp. 92–94.
  15. T. Sakurai & T. Murofushi: A study on the linear complementarity representation of piecewise linear functions, RIMS Kokyuroku 1906 (2014) pp. 172–181.
[Top of this page]
Doctoral Thesis
Two approaches to fuzzy measure theory: integrals based on pseudo-addition and Choquet's integral
Tokyo Institute of Technology, 1987
(The pdf file of the thesis is avarable from Tokyo Tech Research Repository)
[Top of this page]
MUROFUSHI's Home Page