Goal Programming for Solving Fractional Programming Problem in Fuzzy Environment

• 作者: Anil Kumar Nishad Shiva Raj Singh
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: FUZZY Sets Trapezoidal FUZZY Number (TFN) MULTI-OBJECTIVE LINEAR PROGRAMMING PROBLEM (MOLPP) MULTI-OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM (MOLFPP)
• 年，卷（期）: 2015,（14）
• 页码范围: 2360-2374
• 页数: 15页
• 分类号: O1

摘要

This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numbers. In this proposed method, we first define membership function for goals by introducing non-deviational variables for each of objective functions with effective use of α-cut intervals to deal with uncertain parameters being represented by fuzzy numbers. In the optimization process the under deviational variables are minimized for finding a most satisfactory solution. The developed method has also been implemented on a problem for illustration and comparison.