Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients
نویسندگان
چکیده
منابع مشابه
Optimality conditions for linear programming problems with fuzzy coefficients
The optimality conditions for linear programming problems with fuzzy coefficients are derived in this paper. Two solution concepts are proposed by considering the orderings on the set of all fuzzy numbers. The solution concepts proposed in this paper will follow from the similar solution concept, called the nondominated solution, in the multiobjective programming problem. Under these settings, ...
متن کاملNew optimality conditions for multiobjective fuzzy programming problems
In this paper we study fuzzy multiobjective optimization problems defined for $n$ variables. Based on a new $p$-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.
متن کاملThe KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings
The aim of present paper is to study a constrained programming with generalized $alpha-$univex fuzzy mappings. In this paper we introduce the concepts of $alpha-$univex, $alpha-$preunivex, pseudo $alpha-$univex and $alpha-$unicave fuzzy mappings, and we discover that $alpha-$univex fuzzy mappings are more general than univex fuzzy mappings. Then, we discuss the relationships of generalized $alp...
متن کاملNecessary and Sufficient Optimality Conditions for Fuzzy Linear Programming
This paper is concerned with deriving necessary and sufficient optimality conditions for a fuzzy linear programming problem. Toward this end, an equivalence between fuzzy and crisp linear programming problems is established by means of a specific ranking function. Under this setting, a main theorem gives optimality conditions which do not seem to be in conflict with the so-called Karush-Kuhn-Tu...
متن کاملFuzzy Programming Approach for Portfolio Selection Problems with Fuzzy Coefficients
The portfolio selection problem (PSP) uses mathematical approaches to model stock exchange investments. Its aim is to find an optimal set of assets to invest on, as well as the optimal investments for each asset. In this paper, a portfolio selection problem (FPSP) with fuzzy objective function coefficient (FPSP) a multiple objective problem including uncertainties is investigated. The FPSP is c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2014
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2014/489893