Work

On some new geometrically motivated operators over intuitionistic fuzzy sets

Year: 2025

Type: article

Abstract: We consider four new geometrically motivated operators acting in the interior of the interpretation triangle used to depict intuitionistic fuzzy sets. The first operators uses the points resulting from the classical "necessity" and "possibility" operators, in combination with the point ⟨0, 0⟩. The definition of the second operator employs the projections of the considered point onto the sides of the triangle, as viewed from the vertices ⟨0, 0⟩, ⟨0, 1⟩, and ⟨1, 0⟩. The remaining two operators combine two of these projections with the result of the modal operators of the internal point. We also consider operators obtained as linear combinations of some of these four operators.

Source: Notes on Intuitionistic Fuzzy Sets

DOI: 10.7546/nifs.2025.31.4.448-457

Authors: Peter Vassilev, Kristina Zhivkova, Vassia Atanassova, Lyudmila Todorova, Diana Petkova

Institutions: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Bulgarian National Science Fund

Award: G5526119323