Solution of the Second-Order Linear Intuitionistic Fuzzy Difference Equation by Extension Principle Scheme

Mostafijur Rahaman, Shariful Alam, Abdul Alamin and Sankar Prasad Mondal
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Mostafijur Rahaman: Indian Institute of Engineering Science and Technology, Department of Mathematics
Shariful Alam: Indian Institute of Engineering Science and Technology, Department of Mathematics
Abdul Alamin: Maulana Abul Kalam Azad University of Technology, Department of Applied Mathematics
Sankar Prasad Mondal: Maulana Abul Kalam Azad University of Technology, Department of Applied Mathematics

Chapter Chapter 31 in Fuzzy Optimization, Decision-making and Operations Research, 2023, pp 703-724 from Springer

Abstract: Abstract Fuzzy intuitionistic sets illustrate the idea of ambiguity using degrees of belongingness and nonbelongingness. Discrete changes in parameters are represented using difference equations. This chapter discusses the solution of the second-order linear difference equation in an intuitionistic fuzzy environment. We used the extension principle scheme to solve the intuitionistic fuzzy linear difference equation. It is detailed and covers all scenarios for solving a second-order linear difference equation with intuitionistic-valued beginning information. An appropriate application and numerical examples are given to demonstrate the suggested theory. To the author’s knowledge, the second-order difference equation is solved in an intuitionistic fuzzy environment. The coefficients and initial conditions are taken as triangular intuitionistic fuzzy numbers.

Keywords: Intuitionistic fuzzy number; Extension principle; Second-order difference equation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/978-3-031-35668-1_31

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