A New Average Method for Solving Intuitionistic Fuzzy Transportation Problem

Gani, A. Nagoor; Abbas, S. E.

doi:10.12732/ijpam.v93i4.1

Cited by 15 publications

(10 citation statements)

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“…Shanmugasundari and Ganesan, in 2013, proposed a fuzzy modified distribution algorithm and a fuzzy approximation method of Vogel to solve FTP with FNs [31]. Gani and Abbas, in 2014 [4], and Kathirvel, and Balamurugun, in 2012 (see [27], [28]), proposed a method for solving TP in which the quantities demanded and offered are represented in the form of the trapezoidal intuitionistic FNs (IFNs). In well-known and commonly used methods, proposed by Basirzadeh [17], Gani et al [2], Pandian and Natarajan [34] and Dinagar and Palanivel [11], there is a problem that, in a general case, neither the cost values, nor the obtained fuzzy optimal solution need necessarily to be non-negative fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

Traneva¹,

Tranev²

2021

Position and Communication Papers of the 16th Conference on Computer Science and Intelligence Systems

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ÐIn today's market environment not all the parameters of the transportation problems may not be known precisely. Uncertain data can be represented by fuzzy sets (FSs). Intuitionistic FSs (IFSs) are an extension of FSs with a degree of hesitancy. The paper presents a new approach for solution of a two-stage intuitionistic fuzzy transportation problem (2-S IFTP) through the prism of index matrices (IMs). Its main objective is to find the quantities of delivery from manufacturers and resselers to buyers to maintain the supply and demand requirements at the cheapest transportation costs. The solution procedure is demonstrated by a numerical example.

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Section: Introductionmentioning

confidence: 99%

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

Traneva¹,

Tranev²

2021

Position and Communication Papers of the 16th Conference on Computer Science and Intelligence Systems

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“…Ranking of intuitionistic fuzzy number with expected interval is introduced in [22]. A. N. Gani, S. Abbas [23] worked on a new average method for finding an optimal solution for an intuitionistic fuzzy transportation problem. The main feature of this method is that it requires very simple arithmetical calculations and avoids large number of iterations.…”

Section: Introductionmentioning

confidence: 99%

“…Hussain and Kumar [25] [26] [27] and Nagoor Gani and Abbas [23] proposed a method for solving intuitionistic fuzzy transportation problem. Ye [28] discussed expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

Solving Intuitionistic Fuzzy Linear Programming Problem

Kabiraj¹,

Nayak²,

Raha³

2019

IJIS

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Intuitionistic Fuzzy Set (IFS) can be used as a general tool for modeling problems of decision making under uncertainty where, the degree of rejection is defined simultaneously with the degree of acceptance of a piece of information in such a way that these degrees are not complement to each other. Accordingly, an attempt is made to solve intuitionistic fuzzy linear programming problems using a technique based on an earlier technique proposed by Zimmermann to solve fuzzy linear programming problem. Our proposed technique does not require the existing ranking of intuitionistic fuzzy numbers. This method is also different from the existing weight assignment method or the Angelov's method. A comparative study is undertaken and interesting results have been presented.

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“…Ranking of intuitionistic fuzzy number with expected interval is introduced in [23]. A. N. Gani and S. Abbas [24] worked on a new average method for finding an optimal solution for an intuitionistic fuzzy transportation problem. The main feature of this method is that it requires very simple arithmetical calculations and avoids large number of iterations.…”

Section: Introductionmentioning

confidence: 99%

“…Angelov [25] [26] proposed optimization in an intuitionistic fuzzy environment. Hussain and Kumar [27] [28] [29] and Nagoor Gani and Abbas [24] proposed a method for solving intuitionistic fuzzy transportation problem. Ye [30] discussed expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

Solving Intuitionistic Fuzzy Linear Programming Problem—II

Kabiraj¹,

Nayak²,

Raha³

2019

IJIS

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Under non-random uncertainty, a new idea of finding a possibly optimal solution for linear programming problem is examined in this paper. It is an application of the intuitionistic fuzzy set concept within scope of the existing fuzzy optimization. Here, we solve a linear programming problem (LPP) in an intuitionistic fuzzy environment and compare the result with the solution obtained from other existing techniques. In the process, the result of associated fuzzy LPP is also considered for a better understanding.

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A New Average Method for Solving Intuitionistic Fuzzy Transportation Problem

Cited by 15 publications

References 0 publications

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

Solving Intuitionistic Fuzzy Linear Programming Problem

Solving Intuitionistic Fuzzy Linear Programming Problem—II

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