Results 71 to 80 of about 174 (157)

Commutative Rings Behind Divisible Residuated Lattices

Mathematics
Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
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ℒ-Fuzzy Ideals of Residuated Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole, Koguep Blaise Blériot, Akume Daniel, Lele Celestin   +3 more
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Vague Filters of Residuated Lattices [PDF]

Journal of Discrete Mathematics, 2014
Notions of vague filters, subpositive implicative vague filters, and Boolean vague filters of a residuated lattice are introduced and some related properties are investigated. The characterizations of (subpositive implicative, Boolean) vague filters is obtained. We prove that the set of all vague filters of a residuated lattice forms a complete lattice
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Fuzzy ideals and fuzzy congruences of co-residuated lattices [PDF]

Journal of Hebei University of Science and Technology
In order to expand the theory of fuzzy logic algebra, the fuzzy ideals and fuzzy congruences of co-residuated lattices and their interrelationships were studied.
Xinyue HAN, Wei YAO
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Alexandrov L-Fuzzy Pre-Proximities

Mathematics, 2019
In this paper, we introduce the concepts of Alexandrov L-fuzzy pre-proximities on complete residuated lattices. Moreover, we investigate their relations among Alexandrov L-fuzzy pre-proximities, Alexandrov L-fuzzy topologies, L-fuzzy upper approximate ...
Yong Chan Kim, Ju-Mok Oh
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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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An Exploration of Ideals and Filters in Triangle Algebras

Axioms
In the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas.
Euclide Noumen, Fabrice Tchoua Yinga, Blaise Blériot Koguep Njionou, Chris Cornelis   +3 more
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Some Properties of Residuated Lattices [PDF]

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fundamental residuated lattices.

, 2014
Summary: For any countable set \(X\), we construct a residuated lattice and weak hyper residuated lattice on \(X\). Next, using the notion of (strongly) regular relation we construct the corresponding quotient weak hyper residuated lattice. Finally, by considering the fundamental relation we define the fundamental residuated lattice and we show that ...
Borzooei, R., Niazian, S.
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Stable Topology on Ideals for Residuated Lattices

Transactions on Fuzzy Sets and Systems
Residuated lattices are the major algebraic counterpart of logics without contraction rule, as they are more generalized logic systems including important classes of algebras such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices,
Ariane GABRIEL Tallee Kakeu, Luc E. Diekouam, Blaise Bleriot Koguep N., Celestin Lele, Daniel Akume   +4 more
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