TY - JOUR A2 - Di Martino, Ferdinando AU - Mondal, Sankar Prasad AU - Goswami, Adrijit AU - Kumar De, Sujit PY - 2019 DA - 2019/03/03 TI - Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation SP - 4142382 VL - 2019 AB - 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. SN - 1687-7101 UR - https://doi.org/10.1155/2019/4142382 DO - 10.1155/2019/4142382 JF - Advances in Fuzzy Systems PB - Hindawi KW - ER -