Roughness in n-ary semigroups based on fuzzy ideals

DOI10.3233/IFS-152072zbMath1364.20049MaRDI QIDQ2987976

Dajing Xiang, Xiaowu Zhou, Jianming Zhan

Publication date: 18 May 2017

Published in: Journal of Intelligent & Fuzzy Systems (Search for Journal in Brave)

zbMATH Keywords

prime idealrough setapproximation spacelower approximationupper approximationrough ideal\(n\)-ary semigrouprough homomorphismrough prime ideal

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Fuzzy groups (20N25) (n)-ary systems ((nge 3)) (20N15)

Related Items (3)

Rough fuzzy ternary subsemigroups based on fuzzy ideals with three-dimensional congruence relation ⋮ A study on soft rough semigroups and corresponding decision making applications ⋮ Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

Cites Work

• \(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations.
• Roughness in rings.
• A description of \(n\)-ary semigroups polynomial-derived from integral domains.
• Roughness in modules.
• Roughness based on fuzzy ideals
• Relationship between generalized rough sets based on binary relation and covering
• Rough ideals in semigroups
• The lower and upper approximations in a fuzzy group
• On (i,j)-associative n-groupoids with non-empty center
• Roughness in MV-algebras
• Relationship among basic concepts in covering-based rough sets
• Generalized rough sets based on relations
• Approximations in \(n\)-ary algebraic systems
• On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings.
• Rough prime ideals and rough fuzzy prime ideals in semigroups.
• On \((n,m)\)-rings
• On (n,m)-quotient rings
• Rough sets
• Fuzzy n-ary groups as a generalization of Rosenfeld's fuzzy groups
• Idempotents in \(n\)-ary semigroups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Roughness in n-ary semigroups based on fuzzy ideals