Paper Info
Title
Solving a Fully Fuzzy Linear Programming Problem through Compromise Programming.
Abstract
In the current literatures, there are several models of fully fuzzy linear programming (FFLP) problems where all the parameters and variables were fuzzy numbers but the constraints were crisp equality or inequality. In this paper, an FFLP problem with fuzzy equality constraints is discussed, and a method for solving this FFLP problem is also proposed. We first transform the fuzzy equality constraints into the crisp inequality ones using the measure of the similarity, which is interpreted as the feasibility degree of constrains, and then transform the fuzzy objective into two crisp objectives by considering expected value and uncertainty of fuzzy objective. Since the feasibility degree of constrains is in conflict with the optimal value of objective function, we finally construct an auxiliary three-objective linear programming problem, which is solved through a compromise programming approach, to solve the initial FFLP problem. To illustrate the proposed method, two numerical examples are solved.
Year
DOI
Venue
2013
10.1155/2013/726296
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Mathematical optimization,Fuzzy linear programming,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Expected value,Linear programming,Fuzzy number,Compromise programming,Mathematics
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
4
PageRank 
References 
Authors
0.43
21
3
Name
Order
Citations
PageRank
Haifang Cheng140.43
Weilai Huang240.77
Jianhu Cai3274.23