In order to measure fuzzy event, credibility measure is proposed as a non-additive set function. In this paper, this concept is extended to fuzzy sets. First, a mean measure is defined by Lebesgue integral and some properties are investigated such as the monotonicity theorem, self-duality theorem and subadditivity theorem. Furthermore, by using Sugeno integral, an equilibrium measure is propose...

In the real world, most criteria have inter-dependent or interactive characteristics so they cannot be evaluated by conventional additive measures. Thus, to approximate the human subjective evaluation process, it would be more suitable to apply a fuzzy integral model, in which it is not necessary to assume additivity and independence. This research proposes an effective algorithm to determine t...

Due to the rapid growth of usage of Internet and WWW, there has been a fast growth in Internet users and related service industries in the past few years. Portal websites have shown its growing ability and economic benefit on business competition. In practical environments, Internet users face a variety of service quality of portal websites that are vague from human beings’ subjective judgments...

This paper investigates the concave integral for capacities defined over large spaces. We characterize when the integral with respect to capacity v can be represented as the infimum over all integrals with respect to additive measures that are greater than or equal to v. We introduce the notion of loose extendability and study its relation to the concave integral. A non-additive version for the...

Nowadays, due to the competitive conditions of global market, corporations try to outsource their extraneous processes to third-party suppliers. So, selecting a proper supplier play a significant role in organization success. The supplier selection problem can be viewed as a group decision-making problem with multiple criteria. Since in previous researches the inter relationship between cri...

In decision under uncertainty, the Choquet integral yields the expectation of a random variable with respect to a fuzzy measure (or non-additive probability or capacity). In general, for the discrete setting, this technique allows to integrate functions taking values on a finite n-set with respect to a (fuzzy) measure taking values on subsets of such a set. Yet, the integrand may well be treate...

Nowadays, due to the competitive conditions of global market, corporations try to outsource their extraneous processes to third-party suppliers. So, selecting a proper supplier play a significant role in organization success. The supplier selection problem can be viewed as a group decision-making problem with multiple criteria. Since in previous researches the inter relationship between cri...

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

moslehian  and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...