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  • We discuss a formal many-valued logic called EQlogic which is based on a recently introduced special class of algebras called EQ-algebras. The latter have three basic binary operations (meet, multiplication, fuzzy equality) and a top element and, in a certain sense, generalize residuated lattices. The goal of EQ-logics is to present a possible direction in the development of mathematical logics in which axioms are formed as identities. In this paper we propose a basic EQ-logic and three extensions which end up with a logic equivalent to the MTL-logic.
  • We discuss a formal many-valued logic called EQlogic which is based on a recently introduced special class of algebras called EQ-algebras. The latter have three basic binary operations (meet, multiplication, fuzzy equality) and a top element and, in a certain sense, generalize residuated lattices. The goal of EQ-logics is to present a possible direction in the development of mathematical logics in which axioms are formed as identities. In this paper we propose a basic EQ-logic and three extensions which end up with a logic equivalent to the MTL-logic. (en)
Title
  • Non-commutative EQ-logics and their extensions
  • Non-commutative EQ-logics and their extensions (en)
skos:prefLabel
  • Non-commutative EQ-logics and their extensions
  • Non-commutative EQ-logics and their extensions (en)
skos:notation
  • RIV/61988987:17610/09:A1000VNU!RIV10-MSM-17610___
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  • Z(MSM6198898701)
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  • 329668
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  • RIV/61988987:17610/09:A1000VNU
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  • EQ-algebra; fuzzy equality; residuated lattice; MTLlogic; fuzzy logic (en)
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  • [64C295B56324]
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  • Lisabon, Portugalsko
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  • Lisabon
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  • Proceedings of IFSA World Congress/EUSFLAT Conference
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  • Dyba, Martin
  • Novák, Vilém
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  • Universidade Técnica de Lisboa
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  • 978-989-95079-6-8
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  • 17610
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