2026-05-05T00:49:16.926Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:11174 2025-02-12T09:04:49Z 2

Multi-valued Choquet integral based on a couple of set functions with an application in multi-attribute decision-making 2025 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/11174 https://www.sciencedirect.com/science/article/abs/pii/S0165011424003956 D. Zhang R. Mesiar E. Pap As a generalization of Choquet integrals, the generalized Choquet type set-valued integral of functions w.r.t. set multifunctions and 𝜎-additive measures have been performed in our previous paper [66]. The present paper is its continuation and it brings a novel set-valued type Choquet integral, named double set function multi-valued Choquet integral (DSMVCI), where the 𝜎additive measure is replaced by a fuzzy measure. Various kinds of its properties and convergence theorems are obtained, and set-valued type Jensen’s and Markov’s type inequalities are proved. Its application in multi-attribute decision-making with hesitant fuzzy information is given. article https://doi.org/10.1016/j.fss.2024.109249 503 109249 109249 0165-0114 FUZZY SETS AND SYSTEMS