Title
Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation
Abstract
AbstractIn 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.
Year
DOI
Venue
2019
10.1155/2019/4142382
Periodicals
Field
DocType
Volume
Discrete mathematics,Nonlinear system,Ranking,Algebra,Laplace transform,Fuzzy logic,Integral equation,Interval arithmetic,Fuzzy number,Mathematics
Journal
2019
Issue
ISSN
Citations 
1
1687-7101
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Sankar Prasad Mondal1126.24
Adrijit Goswami253223.78
Sujit Kumar De3438.01