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Application of soft sets theory to multilattices

Kouankam Djouohou Lea Aubin|Koguep Njionou Blaise Bleriot|Lele Celestin
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제26권 제3호|pp. 245-259|DOI 10.30948/afmi.2023.26.3.245

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참고문헌

키워드

Soft setSoft filterMultilattice$f$-submultilattice$r$-submultilatticeSoft ideal

초록

Multilattices generalize lattices by replacing the axiom of existence of a least upper bound for two elements by the set of minimal upper bounds and dually. In this work, we use multilattice as the universe set in soft sets theory. The notions of $f$-soft multilattice, $r$-soft multilattice, soft ideal, soft filter, idealistic multilattice are defined and several related properties are investigated.

Abstract

Multilattices generalize lattices by replacing the axiom of existence of a least upper bound for two elements by the set of minimal upper bounds and dually. In this work, we use multilattice as the universe set in soft sets theory. The notions of $f$-soft multilattice, $r$-soft multilattice, soft ideal, soft filter, idealistic multilattice are defined and several related properties are investigated.

참고문헌 (22)

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