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• W1660981353 abstract "Adjoint triples and pairs are basic operators used in several domains, since they increase the flexibility in the framework in which they are considered. This paper introduces multi-adjoint algebras and several properties; also, we will show that an adjoint triple and its “dual” cannot be considered in the same framework. Moreover, a comparison among general algebraic structures used in different frameworks, which reduce the considered mathematical requirements, such as the implicative extended-order algebras, implicative structures, the residuated algebras given by sup-preserving aggregations and the conjunctive algebras given by semi-uninorms and u-norms, is presented. This comparison shows that multi-adjoint algebras generalize these structures in domains which require residuated implications, such as in formal concept analysis, fuzzy rough sets, fuzzy relation equations and fuzzy logic." @default.
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• W1660981353 creator A5001256093 @default.
• W1660981353 creator A5011038914 @default.
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• W1660981353 date "2015-11-01" @default.
• W1660981353 modified "2023-09-25" @default.
• W1660981353 title "Multi-adjoint algebras versus non-commutative residuated structures" @default.
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• W1660981353 doi "https://doi.org/10.1016/j.ijar.2015.08.003" @default.
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