Many optimization problems contain fuzzy information. Possibility theory [1] has been well developed and applied to this kind of optimization problems [2—5]. Fuzzy programming is an important tool to handle the optimization problems, which usually includes three types of models: fuzzy expected value model [6] , fuzzy chance-constrained programming model [7,8] , and fuzzy dependent-chance progra...

The objective of this article is to develop an empirically based framework for formulating and selecting a vendor in supply chain. This study applies the fuzzy set theory to evaluate the vendor selection decision. Applying Analytic Hierarchy Process (AHP) in obtaining criteria weights and applied Technique for Order Performance by Similarity to Idea Solution (TOPSIS) for obtaining final ranking...

Many real-world optimization problems involve multiple conflicting objectives and the use of evolutionary algorithms to solve the problems has attracted much attention recently. This paper investigates the application of multi-objective optimization technique for the design of a Thyristor Controlled Series Compensator (TCSC)-based controller to enhance the performance of a power system. The des...

The paper addresses the problem of PI and PD controller design for linear systems with fuzzy parametric uncertainty. The plant model is considered as a possibility distribution on a plant space and closed loop specifications are given as a fuzzy set of interval gain or phase margins. A set of PI and PD controllers is found that meets the desired specification for each plant of fuzzy set of mode...

W e offer a new typology of problems according to such a t t r ibutes as the fuzzy set of possible solutions, the fuzzy set of properties a solution should have, the fuzzy set of knowledge necessary and sufficient to find a solution, deadlines and constraints. Problems are ranked by degree of ' s t ructuredness ' f rom well-s tructured to ill-defined. Some real problems are shown to be ill-defi...

This paper presents a process to obtain the solution (or flux) of a fuzzy delay system and to determine the fuzzy expected curve for the HIV (human immunodeficiency virus) when HIV-positive individuals receive antiretroviral therapy. This delay is defined as the time between the infection of a CD4+ type T-lymphocyte cell by the virus and the production of new virus particles. The intracellular ...

Fuzzy Set Theory has been applied in many fields such as Operations Research, Control Theory, and Management Sciences etc. In particular, an application of this theory in Managerial Decision Making Problems has a remarkable significance. In this Paper, we consider a solution of Rectangular Fuzzy game with pay-off as imprecise numbers instead of crisp numbers viz., interval and LR-type Trapezoid...

using the notion of “belongingness ($epsilon$)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)- fuzzyhv-ideal of an hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with $ alpha$ $neq$ $epsilon$ $wedge$ q. since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideals is an important and ...

module over a ring is a general mathematical concept for many examples of mathematicalobjects that can be added to each other and multiplied by scalar numbers.in this paper, we consider a module over a ring as a universe and by using the notion of reference points, we provide local approximations for  subsets of the universe.