Results 41 to 50 of about 378,509 (227)
A Linguistic-Valued Weighted Aggregation Operator to Multiple Attribute Group Decision Making with Quantative and Qualitative Information [PDF]
In selecting an optional alternative in an environment of multiple attribute group decision making, different attributes of the alternative are often considered as with quantitative and qualitative information.
Xiaobing Li, Da Ruan, Jun Liu, Yang Xu
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We prove that the Weihrauch lattice can be transformed into a Brouwer algebra by the consecutive application of two closure operators in the appropriate order: first completion and then parallelization. The closure operator of completion is a new closure
Brattka, Vasco, Gherardi, Guido
core +1 more source
In a paper published in 2012, the second author extended the well-known fact that Boolean algebras can be defined using only implication and a constant, to De Morgan algebras-this result led him to introduce, and investigate (in the same paper), the ...
Cornejo, Juan M.+1 more
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Choice-free Topological Duality for Implicative Lattices and Heyting Algebras [PDF]
We develop a common semantic framework for the interpretation both of $\mathbf{IPC}$, the intuitionistic propositional calculus, and of logics weaker than $\mathbf{IPC}$ (substructural and subintuitionistic logics). This is done by proving a choice-free representation and duality theorem for implicative lattices, which may or may not be distributive ...
arxiv +1 more source
Topological representation for monadic implication algebras [PDF]
In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra.
Abad, Manuel+2 more
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Interval-valued algebras and fuzzy logics [PDF]
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
core +2 more sources
On Fuzzy Ideals of BL-Algebras
In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
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Representation of Cubic Lattices by Symmetric Implication Algebras
Fil: Abad, Manuel. Consejo Nacional de Investigaciones Cientificas y Tecnicas; Argentina. Universidad Nacional del Sur.
Abad, Manuel+1 more
openaire +3 more sources
Implication functions in interval-valued fuzzy set theory [PDF]
Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
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Varieties of unary-determined distributive $\ell$-magmas and bunched implication algebras [PDF]
A distributive lattice-ordered magma ($d\ell$-magma) $(A,\wedge,\vee,\cdot)$ is a distributive lattice with a binary operation $\cdot$ that preserves joins in both arguments, and when $\cdot$ is associative then $(A,\vee,\cdot)$ is an idempotent semiring.
Natanael Alpay+2 more
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