there are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal fuzzy numbers. the first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. t...

This paper addresses a type of fully fuzzy bilevel linear programming (FFBLP) wherein all the coefficients and decision variables in both the objective function and constraints are triangular fuzzy numbers. This paper proposes a new simple-structured, efficient method for FFBLP problems based on crisp bilevel programming that yields fuzzy optimal solutions with unconstraint variables and parame...

Fuzzy Dynamic Programming approach to the solution of unit commitment problem is presented and described in detail. The Fuzzy Dynamic programming provides the ‘fuzzy’ preference in obtaining an optimal solution in the presence of conflicting objectives and constraints. The Fuzzy dynamic programming handles one objective (i.e. minimization of operational cost) and two constraints (i.e. generatio...

Quite a few problems in production planning and scheduling, location, transportation, finance, and engineering design require that decisions be made under uncertainty. In this paper, we focus on Fuzzy nonlinear optimization problems in the Linear Fuzzy Real (LFR) numbers. The problems will consist of fuzzy constraints and objective functions, crisp constraints with a fuzzy objective function, o...

In Fuzzy Constraints Satisfaction Problem (FCSP), fuzzy constraints are aggregated by min operation into a fuzzy set membership function to be maximized. This representation framework, originally expressed in terms of membership functions, can be equivalently translated into a set of prioritized crisp constraints. We take advantage of this representation for modeling aggregations different from...

most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. for making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. in line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or de...

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear Bilevel programming (FFLBLP) problems by representing all the parameters as triangular fuzzy numbers. In the proposed method, the given FFLBLP problem is decomposed into three crisp linear programming (CLP) problems with bounded variables constraints, the three CLP problems are solved separately...

In this paper we study some models for dealing with Fuzzy Integer Linear Programming problems which have a certain lack of precision of a vague nature in their formulation. We present methods to solve them with either fuzzy constraints, or fuzzy numbers in the objective function or fuzzy numbers defining the set of constraints. These methods are based on the representation theorem and on fuzzy ...

A complete design framework for a fuzzy constraint-based controller based on fuzzy constraint processing and its semantics and relationship to fuzzy logic is presented. Although, to date, many fuzzy logic control systems have been implemented in rule-based languages, we expect that eventually these languages will be supplanted by constraint-based languages. Despite the successes which have owed...