Journal Article

·2024

An application on intuitionistic fuzzy weakly 2-absorbing ideals of lattices

Salih Yazar YTU , Serkan Onar YTU , Erdoĝan Mehmet Özkan YTU

Logic Journal of IGPL

Abstract

Abstract In this study, we investigate the notion of an intuitionistic fuzzy prime ideal and intuitionistic fuzzy weakly 2-absorbing ideal of a lattice as an expansion of a notion of a weakly prime ideal. Then, we characterize the concept of intuitionistic fuzzy weakly 2-absorbing ideals and intuitionistic fuzzy weakly primary ideals and give some results. Finally, we suggest the concept of an intuitionistic fuzzy weakly 2-absorbing ideals in a product of lattices.

Keywords

Mathematics Ideal (ethics) Prime (order theory) Pure mathematics Fuzzy logic Lattice (music) Boolean prime ideal theorem Algebra over a field Discrete mathematics Combinatorics Computer science Physics Artificial intelligence Epistemology

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences
Advanced Algebra and Logic ·Computational Theory and Mathematics ·Physical Sciences
Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences