2017
DOI: 10.1142/s0218488517500246
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Comonotonic Random Sets and Its Additivity of Choquet Integrals

Abstract: In this paper, we propose a concept of comonotonicity of random sets, which is a set inclusion relation and generalized notion of comonotonicity of real-valued random variables. Then we study some elementary properties of comonotonicity of random sets and comonotonic additivity of real-valued Choquet integral for random set mappings. After this, some other properties of this kind of real-valued Choquet integral for random set mappings are characterized by the comonotonic additivity, for instance, translation i… Show more

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Cited by 2 publications
(1 citation statement)
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“…[37][38][39] Among these fuzzy integrals, Choquet fuzzy integral is preferable in dealing with nonlinear aggregation of MCDM problems. 40 TOPSIS is regarded as an efficient method for solving MCDM problems. It ranks the schemes by calculating the distance between each pre-evaluation scheme and the positive ideal solution and the negative ideal solution.…”
Section: Introductionmentioning
confidence: 99%
“…[37][38][39] Among these fuzzy integrals, Choquet fuzzy integral is preferable in dealing with nonlinear aggregation of MCDM problems. 40 TOPSIS is regarded as an efficient method for solving MCDM problems. It ranks the schemes by calculating the distance between each pre-evaluation scheme and the positive ideal solution and the negative ideal solution.…”
Section: Introductionmentioning
confidence: 99%