Cut topology generated by generalized triangular fuzzy numbers

Year 2025, Volume: 43 Issue: 1, 213 - 221, 28.02.2025

Yeşim Yanardağ , Memet Kule

Abstract

In this study, we propose a new topology called the cut topology. We first develop a synthetic base by using the 𝛼 cut family of the generalized triangular fuzzy number. Then, we generate the cut topology by the synthetic base and give subspace cut topology on a subset of any set. Moreover, the fundamental concepts such as interior, closure, and limit points of a set in the cut topology are discussed. Finally, neighborhood, continuity, and homeomorphism are ana-lyzed with examples.

Keywords

Cut Topology, Fuzzy Set, Generalized Triangular Fuzzy Number

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