The mean value of a fuzzy number

Fuzzy Sets and Systems - Tập 24 - Trang 279-300 - 1987
Didier Dubois1, Henri Prade1
1Laboratoire “Langages et Systèmes Informatiques”, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France

Tài liệu tham khảo

Dempster, 1967, Upper and lower probabilities induced by a multivalued mapping, Ann. Math. Statist., 38, 325, 10.1214/aoms/1177698950 Dubois, 1983, Modèles Mathématiques de l'Imprécis et de l'Incertain, en Vue d'Applications aux Techniques d'Aide à la Décision Dubois, 1980 Dubois, 1982, Upper and lower possibilitistic expectations and some applications Dubois, 1982, On several representations of an uncertain body of evidence, 167 Dubois, 1987, Fuzzy numbers: An overview Dubois, 1985, Fuzzy cardinality and the modelling of imprecise quantification, Fuzzy Sets and Systems, 16, 199, 10.1016/0165-0114(85)90025-9 Dubois, 1985, Evidence measures based on fuzzy information, Automatica, 21, 547, 10.1016/0005-1098(85)90004-4 Goodman, 1982, Fuzzy sets as equivalence classes of random sets, 327 Höhle, 1981, Representation theorems for L-fuzzy quantities, Fuzzy Sets and Systems, 5, 83, 10.1016/0165-0114(81)90035-X Klement, 1981, Operations on fuzzy sets and fuzzy numbers related to triangular norms, 218 Loève, 1962 Matheron, 1975 Moore, 1966 Nguyen, 1978, On random sets and belief functions, J. Math. Anal. Appl., 64, 531, 10.1016/0022-247X(78)90161-0 Nguyen, 1978, A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64, 369, 10.1016/0022-247X(78)90045-8 Nguyen, 1984, On modeling of linguistic information using random sets, Inform. Sci., 34, 265, 10.1016/0020-0255(84)90052-5 Ralescu, 1979, A survey of the representation of fuzzy concepts and its applications, 77 Rodabaugh, 1982, Fuzzy addition in the L-fuzzy real line, Fuzzy Sets and Systems, 8, 39, 10.1016/0165-0114(82)90028-8 Shafer, 1973, Allocation of probability Shafer, 1976 Shafer, 1987, Belief functions and possibility measures Strat, 1984, Continuous belief functions for evidential reasoning, 308 Wang, 1982, Treating a fuzzy subset as a projectable random set, 213 Zadeh, 1971, Similarity relations and fuzzy orderings, Inform. Sci., 3, 177, 10.1016/S0020-0255(71)80005-1 Zadeh, 1978, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, 3, 10.1016/0165-0114(78)90029-5 Artstein, 1975, A strong law of large numbers for random compact sets, Ann. Probab., 3, 879, 10.1214/aop/1176996275 Kwakernaak, 1978, Fuzzy random variables. Part I: Definition and theorems, Inform. Sci., 15, 1, 10.1016/0020-0255(78)90019-1 Kwakernaak, 1979, Part II: Algorithms and examples for the discrete case, Inform. Sci., 17, 253, 10.1016/0020-0255(79)90020-3 Puri, 1985, The concept of normality for fuzzy random variables, Ann. Probability, 13, 1373, 10.1214/aop/1176992822 Kruse, 1982, The strong law of large numbers for fuzzy random variables, Inform. Sci., 28, 233, 10.1016/0020-0255(82)90049-4 Miyakoshi, 1984, A strong law of large numbers for fuzzy random variables, Fuzzy Sets and Systems, 12, 133, 10.1016/0165-0114(84)90033-2 Féron, 1976, Ensembles aléatoires flous, C.R. Acad. Sci. Paris Ser. A, 282, 903 Dempster, 1967, Upper and lower probabilities generated by a random closed interval, Amer. Math. Statist., 39, 957, 10.1214/aoms/1177698328