A Novel Ranking Approach to Solving Fully LR-Intuitionistic Fuzzy Transportation Problems

被引：10

作者：

Abhishekh ^{[1
]}

Nishad, A. K. ^{[2
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India

[2] Shobhit Univ, Sch Basic & Appl Sci, Gangoh 247341, Uttar Pradesh, India

来源：

NEW MATHEMATICS AND NATURAL COMPUTATION | 2019年 / 15卷 / 01期

关键词：

LR fuzzy number; LR-intuitionistic fuzzy number (LR-IFN); ranking function; LR-intuitionistic fuzzy transportation problem (LR-IFTP); NUMBERS;

D O I：

10.1142/S1793005719500066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To the extent of our knowledge, there is no method in fuzzy environment to solving the fully LR-intuitionistic fuzzy transportation problems (LR-IFTPs) in which all the parameters are represented by LR-intuitionistic fuzzy numbers (LR-IFNs). In this paper, a novel ranking function is proposed to finding an optimal solution of fully LR-intuitionistic fuzzy transportation problem by using the distance minimizer of two LR-IFNs. It is shown that the proposed ranking method for LR-intuitionistic fuzzy numbers satisfies the general axioms of ranking functions. Further, we have applied ranking approach to solve an LR-intuitionistic fuzzy transportation problem in which all the parameters (supply, cost and demand) are transformed into LR-intuitionistic fuzzy numbers. The proposed method is illustrated with a numerical example to show the solution procedure and to demonstrate the efficiency of the proposed method by comparison with some existing ranking methods available in the literature.

引用

页码：95 / 112

页数：18

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