Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:The Scientific World Journal, volume 2,014, pages 1-11 (issn: 2356-6140, eissn: 1537-744X,

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Authors: Young Bae Jun; Seok Zun Song; G. Muhiuddin;

doi: 10.1155/2014/467968

pmid: 25405223

pmc: PMC4219135

Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

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Abstract

The notions of union-soft semigroups, union-softl-ideals, and union-softr-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-softl-ideal, and a union-softr-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-softl-ideals and union-softr-ideals are investigated. Using the notions of union-softl-ideals and union-softr-ideals, conditions for an ordered semigroup to be regular are considered. The concepts of concave soft sets and critical soft points are introduced, and their properties are discussed.

Related Organizations

Gyeongsang National University
Korea (Republic of)
University of Tabuk
Saudi Arabia
Department of Mathematics Education
Indonesia
Jeju National University
Korea (Republic of)
Department of Mathematics

Keywords

Technology, Models, Statistical, T, Science, Q, R, Uncertainty, Fuzzy Logic, Medicine, Research Article

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