Results 31 to 40 of about 204 (74)
Complexity, Volume 2017, Issue 1, 2017., 2017 Rough set theory has been used extensively in fields of complexity, cognitive sciences, and artificial intelligence, especially in numerous fields such as expert systems, knowledge discovery, information system, inductive reasoning, intelligent systems, data mining, pattern recognition, decision‐making, and machine learning.
Abbas Mardani +6 more
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Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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The Lattice Structure of L‐Contact Relations
Advances in Fuzzy Systems, Volume 2016, Issue 1, 2016., 2016 From the point of view of graded truth approach, we define the notion of a contact relation on the collection of all L‐sets, discuss the connection to the set of all close, reflexive, and symmetric relations on all L‐ultrafilters on X, and investigate the algebraic structure of all L‐contact relations.
Xueyou Chen, Rustom M. Mamlook
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Vague Congruences and Quotient Lattice Implication Algebras
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations. Secondly, the equivalent characterizations of vague congruence relations are investigated.
Xiaoyan Qin +3 more
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Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 Residuated lattices play an important role in the study of fuzzy logic based on t‐norms. In this paper, we introduce some notions of n‐fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary, filters. This work generalizes existing results in BL‐algebras and residuated lattices, most notably
Albert Kadji +4 more
wiley +1 more source
Classes of Int‐Soft Filters in Residuated Lattices
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The notions of int‐soft filters, int‐soft G‐filters, regular int‐soft filters, and MV‐int‐soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int‐soft filter to be an int‐soft G‐filter, a regular int‐soft filter, or an MV‐int‐soft filter are provided.
Young Bae Jun +3 more
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An Investigation on Algebraic Structure of Soft Sets and Soft Filters over Residuated Lattices
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 We introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), ∨ and ∧‐intersection, cartesian product, and restricted and extended difference of the family of soft ...
S. Rasouli +4 more
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Optimised ExpTime Tableaux for 𝒮ℋℐ𝒩 over Finite Residuated Lattices
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 This study proposes to adopt a novel tableau reasoning algorithm for the description logic 𝒮ℋℐ𝒩 with semantics based on a finite residuated De Morgan lattice. The syntax, semantics, and logical properties of this logic are given, and a sound, complete, and terminating tableaux algorithm for deciding fuzzy ABox consistency and concept satisfiability ...
Jian Huang +3 more
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Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI‐Algebras
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI‐algebras.
Young Bae Jun +3 more
wiley +1 more source
Some Remarks Regarding MTL and Divisible Residuated Algebras
MathematicsDivisible residuated lattices and MTL algebras are algebraic structures connected with algebras in t-norm-based fuzzy logics, being examples of residuated lattices. They are an important topic in the study of fuzzy logic.
Cristina Flaut, Dana Piciu, Radu Vasile
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