In this paper, we formulate multiobjective fuzzy random bimatrix games, and introduce two kinds of equilibrium solution concepts. By applying possibility/necessity measure an expectation model to such the corresponding concepts are defined. To circumvent computational difficulties obtain solutions, algorithms based on bisection method is proposed, in which conditions membership function space r...

In this paper,we treat fuzzy linear programming problemswith uncertain parameterswhose ranges are specified as fuzzy polytopes. The problem is formulated as a necessity measure optimization model. It is shown that the problem can be reduced to a semi-infinite programming problem and solved by a combination of a bisection method and a relaxation procedure. An algorithm in which the bisection met...

We consider first order modal logic C firstly defined by Carnap in “Meaning and Necessity” [1]. We prove elimination of nested modalities for this logic, which gives additionally the Skolem-Löwenheim theorem for C. We also evaluate the degree of unsolvability for C, by showing that it is exactly 0′. We compare this logic with the logics of Henkin quantifiers, Σ1 logic, and SO. We also shortly d...

Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sug...

The Supply Chain is considered a necessity for the success of organizations seeking the most economic, environmental and social impacts. In addition, the implementation and suitable execution of this supply chain seems to be necessary. Considering the importance of the social impacts of this supply chain, a fuzzy multi-objective mathematical model is provided such that, in addition to consideri...

OBJECTIVE This meta-analysis investigated whether beliefs in the necessity and concerns of medicine and the necessity-concerns differential are correlated with medication adherence on a population level and in different conditions. METHODS An electronic search of Web of Science, EMBASE, PubMed and CINAHL was conducted for manuscripts utilising the Beliefs about Medicines Questionnaire and com...

A new technique o f uncertainty management in expert systems is proposed. It is suggested that the possibility theory-based treatment o f uncertainty (developed by D. Dubois and H. Prade) in inference engines be simplified by using a combination o f possibility and necessity measures, namely N + FI 1, rather than using the possibility measure 17 and the necessity measure N separately. This comb...

This paper develops a combinatorial description of the extreme points of the core of a necessity measure on a finite space. We use the ingredients of Dempster-Shafer theory to characterize a necessity measure and the extreme points of its core in terms of the Möbius inverse, as well as an interpretation of the elements of the core as obtained through a transfer of probability mass from non-elem...