Application of Linear Space on Triangular Intuitionistic Fuzzy Numbers Based on (α,β)-Cut Method
Authors
Department of Mathematics, Silapathar Town College, Assam, India (India)
Registrar, North Lakhimpur University, Assam, India (India)
Article Information
DOI: 10.51584/IJRIAS.2026.11080151
Subject Category: Fuzzy Mathematics
Volume/Issue: 11/8 | Page No: 2013-2027
Publication Timeline
Submitted: 2026-09-02
Accepted: 2026-09-07
Published: 2026-09-19
Abstract
Triangular Fuzzy number (TFN) and Triangular intuitionistic Fuzzy number (TIFN) play an important role in various fields. TINF is an extension of standard fuzzy numbers that handles uncertainty by using both a membership function and non membership function with a Triangular shape. In this research paper we will discuss some elementary operations on proposed Triangular fuzzy numbers (TFNs).And also Comparison of the Triangular fuzzy number and Triangular intuitionistic fuzzy number as in the formation of Linear space. Membership and non- membership function are calculated in terms of (α,β)-cut method of Triangular intuitionistic fuzzy numbers. Numerical example and application of an electric network model of dark room is provided here.
Keywords
Triangular Fuzzy Numbers, Triangular Intuitionistic Fuzzy Numbers, Triangular Fuzzy Linear space, Membership and non- membership function.
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References
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