Defuzzification of trapezoidal type-2 fuzzy variables and its application to solid transportation problem

2016 ◽  
Vol 30 (4) ◽  
pp. 2431-2445 ◽  
Author(s):  
Amrit Das ◽  
Uttam Kumar Bera ◽  
Manoranjan Maiti
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Fuzzy Variables

A solid transportation problem with type-2 fuzzy variables

2014 ◽  
Vol 24 ◽  
pp. 543-558 ◽  
Author(s):  
Pei Liu ◽  
Lixing Yang ◽  
Li Wang ◽  
Shukai Li
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Fuzzy Variables

scholarly journals A New Approach for Solving Type-2-Fuzzy Transportation Problem

2019 ◽  
Vol 4 (3) ◽  
pp. 683-696
Author(s):  
Somnath Maity ◽  
Sankar Kumar Roy
Keyword(s):  
Transportation Problem ◽  
Original Problem ◽  
Fuzzy Numbers ◽  
Real Life ◽  
Simplex Algorithm ◽  
New Approach ◽  
Fuzzy Variables ◽  
Linear Programming Problems ◽  
Fuzzy Transportation Problem

In this paper, a new approach is introduced to solve transportation problem with type-2-fuzzy variables. In most of the real-life situations, the available data do not happen to be crisp in nature. It gives rise to the fuzzy transportation problem (FTP). This proposed approach concentrates on the problem when the vertical slices of type-2-fuzzy sets (T2FSs) are trapezoidal fuzzy numbers (TFNs). The original problem reduces to three different linear programming problems (LPPs) which are solved using the simplex algorithm. Then the effectiveness of this paper is discussed with numerical example. In conclusion, the significance of the paper and the scope of future study are discussed.

scholarly journals Type-2 Duality Triangular Fuzzy Fractional Transportation Problem using Goal Programming Technique

2020 ◽  
Vol 8 (6) ◽  
pp. 1295-1302
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Programming Technique ◽  
Intuitionistic Fuzzy Numbers ◽  
Fuzzy Variables ◽  
Proposed Model ◽  
Fuzzy Parameters ◽  
Interval Valued

The authors focused goal programming technique for solving type-2 duality fuzzy fractional transportation problem by using interval-valued triangular intuitionistic fuzzy numbers. The proposed method solves three types of models in which variables are taken as type-2 fuzzy variables which have spring up to the fuzzy fractional transportation problem. In these models, duality is applied and a particular type of non-linear membership functions are used to resolve duality fractional transportation problem including fuzzy parameters. A numerical example for examining the performance of the proposed model is envisaged here.

Reduction methods of type-2 uncertain variables and their applications to solid transportation problem

2015 ◽  
Vol 291 ◽  
pp. 204-237 ◽  
Author(s):  
Lixing Yang ◽  
Pei Liu ◽  
Shukai Li ◽  
Yuan Gao ◽  
Dan A. Ralescu
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Uncertain Variables ◽  
Reduction Methods
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