Fuzzy quantic nuclei and conuclei with applications to fuzzy semi-quantales and (L, M)-quasi-fuzzy topologies

Authors

Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

https://doi.org/10.1186/s42787-019-0031-z

Abstract

The aim of this paper is to introduce and study the notions of M-fuzzy quantic nuclei and
conuclei on quantales. Firstly, the concept of an M-fuzzy quantic nuclei is introduced
and some of its properties are discussed. Secondly, the concept of an M-fuzzy quantic
conuclei is introduced. As an application of M-fuzzy quantic conuclei on quantales, a
characterization of an (L, M)-quasi-fuzzy interior operator on a non-empty set X is given
and the relationship between it and an (L, M)-quasi-fuzzy topology is discussed. Finally,
the concept of an M-fuzzy left (resp., right) ideal conucleus is introduced and the
relationship with the concept of M-fuzzy left (resp., right) ideal is introduced.

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-17

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