Abstract
In the present day by day life circumstances TP we habitually face the circumstance of unreliability in addition to unwillingness due to various unmanageable segments. To deal with unreliability and unwillingness multiple researchers have recommended the intuitionistic fuzzy (IF) delineation for material. This paper proposes the approach used by generalized trapezoidal intuitionistic fuzzy number to solve these transport problem, i.e. capacity and demand are considered as real numbers and charge of transport from origin to destination is considered as generalized trapezoidal intuitionistic fuzzy numbers as charge of product per unit. The generalized trapezoidal intuitionistic fuzzy numbers ranking function is used on the basis of IFN'S centroid of centroids. Through the traditional optimization process, we generate primary basic feasible solution and foremost solution. The numerical illustration shows efficacy of technique being suggested. A fresh technique is implemented to seek foremost solution using ranking function of a fuzzy TP of generalized trapezoidal intuitionistic fuzzy number. Without finding a IBFS, this approach explicitly provides optimal solution for GTrIFTP. Finally, for ranking function we apply a proposed GTrIFTP method illustrated Numerical example.
Highlights
Fuzzy set (FS) theory was first invented by Zadeh [11] has been involved effective in different fields
The concept fuzzy mathematical programming was invented by Tanaka et al in 1947 the framework of fuzzy decision of Bellman et al [2].The concept of Intuitionistic fuzzy sets (IFS‟s) suggested by Atanassov [1] is found to be hugely useful to deal with ambiguity
Chakraborty et al [3] introduced computational operations of Intuitionistic Fuzzy Set (IFS)‟s. Multiple researchers further devised with IFS‟s. Intuitionistic trapezoidal fuzzy numbers are introduced in Wang et al [10], which are extending of intuitionistic triangular fuzzy numbers
Summary
Fuzzy set (FS) theory was first invented by Zadeh [11] has been involved effective in different fields. The concept fuzzy mathematical programming was invented by Tanaka et al in 1947 the framework of fuzzy decision of Bellman et al [2].The concept of Intuitionistic fuzzy sets (IFS‟s) suggested by Atanassov [1] is found to be hugely useful to deal with ambiguity. The IFS‟s separate proportion integration (fulfillment level) and proportion non-participation (non-fulfillment level) of an element in the set. Stephen et al [6] investigated a method to solve fuzzy transportation problem (FTP) by taking trapezoidal fuzzy numbers. Intuitionistic trapezoidal fuzzy numbers are introduced in Wang et al [10], which are extending of intuitionistic triangular fuzzy numbers. Intuitionistic trapezoidal fuzzy weighted arithmetic averaging operators and weighted geometric averaging operators are introduced by Wang et al [8][9].
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