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]

open access: yesInternational Journal of Computational Intelligence Systems, 2008
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
doaj   +1 more source

Weihrauch goes Brouwerian

open access: yes, 2020
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

On Implicator Groupoids [PDF]

open access: yes, 2016
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
core   +2 more sources

Choice-free Topological Duality for Implicative Lattices and Heyting Algebras [PDF]

open access: yesAlgebra Universalis, 2023, 2023
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]

open access: yes, 2009
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
core   +1 more source

Interval-valued algebras and fuzzy logics [PDF]

open access: yes, 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
core   +2 more sources

On Fuzzy Ideals of BL-Algebras

open access: yesThe Scientific World Journal, 2014
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
doaj   +1 more source

Representation of Cubic Lattices by Symmetric Implication Algebras

open access: yesOrder, 2006
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]

open access: yes, 2013
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
core   +1 more source

Varieties of unary-determined distributive $\ell$-magmas and bunched implication algebras [PDF]

open access: yesLogical Methods in Computer Science
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
doaj   +1 more source

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