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

Sanhita Banerjee and Tapan Kumar Roy
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Sanhita Banerjee: IIEST, Shibpur, Howrah, India
Tapan Kumar Roy: IIEST, Shibpur, Howrah, India

International Journal of Fuzzy System Applications (IJFSA), 2017, vol. 6, issue 3, 6-58

Abstract: 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.

Date: 2017
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