Results 91 to 100 of about 673,590 (252)
On sets of graded attribute implications with witnessed non-redundancy
, 2015 We study properties of particular non-redundant sets of if-then rules describing dependencies between graded attributes. We introduce notions of saturation and witnessed non-redundancy of sets of graded attribute implications are show that bases of ...
Vychodil, Vilem
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Cancellative residuated lattices [PDF]
Algebra Universalis, 2003 Cancellative residuated lattices are natural generalizations of lattice-ordered groups ( -groups). Although cancellative monoids are defined by quasi-equations, the class CanRL of cancellative residuated lattices is a variety. We prove that there are only two commutative subvarieties of CanRL that cover the trivial variety, namely the varieties ...
J. Cole +4 more
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$L$-biconvex sets on some fuzzy algebraic substructures
AIMS Mathematics, 2020 With a complete residuated lattice $L$ as the set of truth values, we first introduce the concept of $L$-biconvex sets. Then we focus on investigating the forms of $L$-biconvex sets on three fuzzy algebraic substructures which are $L$-subsemilattices, $L$
Hui Yang, Yi Shi
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A note on operations of hesitant fuzzy sets [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
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The pure spectrum of a residuated lattice
Fuzzy Sets and Systems, 2023 43 pages, 5 figures, original paper.
Saeed Rasouli, Amin Dehghani
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A general framework for product representations: bilattices and beyond
, 2015 This paper studies algebras arising as algebraic semantics for logics used to model reasoning with incomplete or inconsistent information. In particular we study, in a uniform way, varieties of bilattices equipped with additional logic-related operations
Cabrer, L. M., Priestley, H. A.
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Expanding FLew with a Boolean connective
, 2016 We expand FLew with a unary connective whose algebraic counterpart is the operation that gives the greatest complemented element below a given argument. We prove that the expanded logic is conservative and has the Finite Model Property.
Ertola-Biraben, Rodolfo C. +2 more
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Scalar Representation and Conjugation of Set-Valued Functions
, 2012 To a function with values in the power set of a pre-ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function.
Aubin J-P +15 more
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Some Applications of Fuzzy Sets in Residuated Lattices
AxiomsMany papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets ...
Cristina Flaut +2 more
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New topology in residuated lattices
Open Mathematics, 2018 In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
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