In this paper, fuzzy syntopogenous spaces is introduced. First, the *-increasing and *-decreasing spaces have been studied. Second,order-convexity on syntopogenous structures (X,S,≤ ) has been defined. Third, the equivalent description of orderconvexity has been given. Finally, some important properties of order-convexity have been obtained.

In this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. Our goal is to estimate the output of a same and new production unit with existing production possibility and amount of input is specified. So, initially we find the interval changes of each input...

The main aim of this contribution is to define the notions of Kullback-Leibler divergence and conditional mutual information in fuzzy probability spaces and to derive the basic properties of the suggested measures. In particular, chain rules for mutual information of fuzzy partitions and for Kullback-Leibler divergence with respect to fuzzy P-measures are established. In addition, a convexity o...

This paper systematically investigates the properties of six kinds of entropy-based risk measures: Information Entropy and Cumulative Residual Entropy in the probability space, Fuzzy Entropy, Credibility Entropy and Sine Entropy in the fuzzy space, and Hybrid Entropy in the hybridized uncertainty of both fuzziness and randomness. We discover that none of the risk measures satisfy all six of the...

in order to have better insight of project characteristics, different kinds of fuzzy analysis for project networks have been recently proposed, most of which consider activities duration as the main and only source of imprecision and vagueness, but as it is usually experienced in real projects, the structure of the network is also subject to changes. in this paper we consider three types of imp...

The present work is concerned with cooperative games with transferable utility the characteristic function of which may have fuzzy values. Main attention is devoted to notions of superadditivity, convexity, core, and Shapley value. It turns out that the proposed fuzzy counterparts of these notions eliminate difficulties and disappointing features connected with previous approaches.

We present some properties regarding diffusion and semi-convexity for fuzzy set multifunctions defined on a ring of subsets of an abstract nonvoid space and taking values in the family of all nonvoid closed subsets of a real normed space. Key–Words: diffused, semi-convex, fuzzy set multifunction, non-atomicity, Darboux property, regular, multimeasure, null-additive.

The paper presents quite general weak and strong laws of large numbers for weighted sums of triangular arrays of random fuzzy sets. The proofs of the results rely on an appropriate identification of random fuzzy sets with random elements in Banach spaces which satisfy a useful convexity property.