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GENERALIZED FUZZY NUMBER VALUED BARTLE INTEGRALS
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In this paper we introduce the integration of scalar valued functions with respect to a generalized fuzzy number measure which we call the generalized fuzzy number valued Bartle integral. We first establish some properties of the generalized fuzzy number measures and then study the generalized fuzzy number valued Bartle integrals.
Abstract
In this paper we introduce the integration of scalar valued functions with respect to a generalized fuzzy number measure which we call the generalized fuzzy number valued Bartle integral. We first establish some properties of the generalized fuzzy number measures and then study the generalized fuzzy number valued Bartle integrals.
참고문헌 (8)
- R. G. Bartle, "A general bilinear vector integral", Studia Math., 15, pp.337~352 (1956)
- J. Diestel, "Vector Measures, Math. Surveys", Amer. Math. Soc., 15 (1977), Providence R.I.
- C. V. Negoita, "Application of Fuzzy Sets to Systems Analysis" (1975), Wiley
- N. S. Papageorgiou, "On the theory of Banach space valued multifunctions. 1. Integration and conditional expectation. 2. Set valued martingales and set valued measures", J. Multivariate Anal., 17, pp.185~227 (1985)
- J. Wu, "The w-derivatives of fuzzy mappings in Banach spaces", Fuzzy Sets and Systems, 119, pp.375~381 (2001)
- W. Z. Wu, "Set valued Bartle integrals", J. Math. Anal. Appl., 255, pp.1~20 (2001)
- X. Xue, "Random fuzzy number integrals in Banach spaces", Fuzzy Sets and Systems, 66, pp.97~111 (1994)
- X. Xue, "On the extension of the fuzzy number measures in Banach spaces: Part I. Representation of the fuzzy number measures", Fuzzy Sets and Systems, 78, pp.347~354 (1996)
관련 논문AI추천
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