Fuzzy solution of fully fuzzy multi-objective linear fractional programming problems

被引：4
|
作者：
Loganathan, T. [1 ]
Ganesan, K. [1 ]
机构：
[1] SRM Inst Sci & Technol, Dept Math, Chennai, Tamil Nadu, India
来源：
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2021年 / 17卷 / 04期
关键词：
Fuzzy Multi-objective linear fractional programming; triangular fuzzy numbers; parametric form; fuzzy arithmetic; fuzzy ranking; Pareto optimal solution;
D O I：
10.18187/pjsor.v17i4.3368
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this study, we present a novel method for solving fully fuzzy multi-objective linear fractional programming problems without transforming to equivalent crisp problems. First, we calculate the fuzzy optimal value for each fractional objective function and then we convert the fully fuzzy multi-objective linear fractional programming problem to a single objective fuzzy linear fractional programming problem and find its fuzzy optimal solution which inturn yields a fuzzy Pareto optimal solution for the given fully fuzzy multi-objective linear fractional programming problem. To demonstrate the proposed strategy, a numerical example is provided.
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页码：817 / 825
页数：9
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