scholarly journals TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBER WITH SOME ARITHMETIC OPERATIONS AND ITS APPLICATION ON RELIABILITY EVALUATION

2020 ◽  
Vol 1 (2) ◽  
Keyword(s):  
Fuzzy Number ◽  
Reliability Evaluation ◽  
Intuitionistic Fuzzy Number ◽  
Arithmetic Operations ◽  
Intuitionistic Fuzzy ◽  
Trapezoidal Intuitionistic Fuzzy Number

scholarly journals Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Sankar Prasad Mondal ◽  
Adrijit Goswami ◽  
Sujit Kumar De
Keyword(s):  
Integral Equation ◽  
Fuzzy Number ◽  
Linear Integral Equation ◽  
Intuitionistic Fuzzy Number ◽  
Arithmetic Operations ◽  
Transform Method ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Function ◽  
Linear Integral ◽  
Fuzzy Laplace Transform

In this paper we introduce the different arithmetic operations on nonlinear intuitionistic fuzzy number (NIFN). All the arithmetic operations are done by max-min principle method which is nothing but the application of interval analysis. We also define the nonlinear intuitionistic fuzzy function which is used for finding the values, ambiguities, and ranking of nonlinear intuitionistic fuzzy number. The de-i-fuzzification of the corresponding intuitionistic fuzzy solution is done by average of (α,β)-cut method. Finally we solve integral equation with NIFN by the help of intuitionistic fuzzy Laplace transform method.

Arithmetic Behaviors of P-Norm Generalized Trapezoidal Intuitionistic Fuzzy Numbers with Application to Circuit Analysis

2017 ◽  
Vol 6 (3) ◽  
pp. 6-58
Author(s):  
Sanhita Banerjee ◽  
Tapan Kumar Roy
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Circuit Analysis ◽  
Extension Principle ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
The Given ◽  
Trapezoidal Intuitionistic Fuzzy Number ◽  
Trapezoidal Intuitionistic Fuzzy Numbers

P-norm Generalized Trapezoidal Intuitionistic Fuzzy Number is the most generalized form of Fuzzy as well as Intuitionistic Fuzzy Number. It has a huge application while solving various problems in imprecise environment. In this paper the authors have discussed some basic arithmetic operations of p-norm Generalized Trapezoidal Intuitionistic Fuzzy Numbers using two different methods (extension principle method and vertex method) and have solved a problem of circuit analysis taking the given data as p-norm Generalized Trapezoidal Intuitionistic Fuzzy Numbers.

scholarly journals An unknown Transit technique for Solving Generalized Trapezoidal Intuitionistic Fuzzy Transportation Problems using Centroid of Centroids

2021 ◽  
Vol 12 (3) ◽  
pp. 5121-5128
Author(s):  
Indira Singuluri Et. al.
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Ranking Function ◽  
Intuitionistic Fuzzy Number ◽  
Numerical Illustration ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Trapezoidal Intuitionistic Fuzzy Number ◽  
Trapezoidal Intuitionistic Fuzzy Numbers

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.

Intutionistic Fuzzy Difference Equation

2017 ◽  
pp. 112-131
Author(s):  
Sankar Prasad Mondal ◽  
Dileep Kumar Vishwakarma ◽  
Apu Kumar Saha
Keyword(s):  
Difference Equation ◽  
Exact Solutions ◽  
Fuzzy Number ◽  
Linear Difference Equation ◽  
Initial Condition ◽  
Intuitionistic Fuzzy Number ◽  
Numerical Examples ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Trapezoidal Intuitionistic Fuzzy Number

In this chapter we solve linear difference equation with intuitionistic fuzzy initial condition. All possible cases are defined and solved them to obtain the exact solutions. The intuitionistic fuzzy numbers are also taken as trapezoidal intuitionistic fuzzy number. The problems are illustrated by two different numerical examples.

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