Results 51 to 60 of about 1,853 (178)
The Relations between Residuated Frames and Residuated Connections
Mathematics, 2020 We introduce the notion of (dual) residuated frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between (dual) residuated frames and (dual) residuated connections as a topological viewpoint of fuzzy rough sets ...
Yong Chan Kim, Ju-Mok Oh
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The Reticulation of a Universal Algebra [PDF]
, 2017 The reticulation of an algebra $A$ is a bounded distributive lattice ${\cal L}(A)$ whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of $A$, endowed with the Stone topologies.
Georgescu, George, Mureşan, Claudia
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Cancellative residuated lattices [PDF]
Algebra Universalis, 2003 A residuated lattice is a structure \({\mathbf L}=\langle L,\wedge ,\vee ,\cdot ,e,\backslash ,/ \rangle \) such that \(\langle L,\wedge ,\vee \rangle \) is a lattice, \(\langle L,\cdot ,e \rangle \) is a monoid and for all \(a,b,c\in L\), \(a\cdot b\leq c\)\ \ iff\ \ \(a\leq c/b\)\ \ iff\ \ \(b\leq a\backslash c\). \(\mathbf L\) is called cancellative
Bahls, P. +4 more
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Mp- and purified residuated lattices
Soft Computing, 2022 Abstract In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on mp and purified residuated lattices. It is demonstrated that mp-residuated lattices strongly tied up with the dual hull-kernel topology.
Saeed Rasouli, Amin Dehghani
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Annihilators in Universal Algebras: A New Approach
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The purpose of this paper is to study annihilators and annihilator ideals in a more general context; in universal algebras.
Gezahagne Mulat Addis, Andrei V. Kelarev
wiley +1 more source
Interval-valued algebras and fuzzy logics [PDF]
, 2010 In this chapter, we present a propositional calculus for several interval-valued fuzzy logics, i.e., logics having intervals as truth values. More precisely, the truth values are preferably subintervals of the unit interval.
Cornelis, Chris +2 more
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Co-stone Residuated Lattices [PDF]
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 33 ...
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Generalized Hesitant Fuzzy Ideals in Semigroups
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, as a generalization of the concepts of hesitant fuzzy bi‐ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy (m, n)‐ideals and hesitant fuzzy (m, 0)‐ideals (resp. (0, n)‐ideals) are introduced.
G. Muhiuddin +4 more
wiley +1 more source
Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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Coalgebraic completeness-via-canonicity for distributive substructural logics [PDF]
, 2016 We prove strong completeness of a range of substructural logics with respect to a natural poset-based relational semantics using a coalgebraic version of completeness-via-canonicity.
Dahlqvist, Fredrik, Pym, David
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