Results 41 to 50 of about 673,590 (252)
THE STRUCTURE OF RESIDUATED LATTICES [PDF]
International Journal of Algebra and Computation, 2003 A residuated lattice is an ordered algebraic structure [Formula: see text] such that <L,∧,∨> is a lattice, <L,·,e> is a monoid, and \ and / are binary operations for which the equivalences [Formula: see text] hold for all a,b,c ∈ L. It is helpful to think of the last two operations as left and right division and thus the equivalences can be
Constantine Tsinakis, Kevin K. Blount
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Fuzzy Ideals in Pseudo‐Hoop Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this study, fuzzy ideals in pseudo‐hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo‐hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo‐hoop algebras and identify and demonstrate the one‐to‐one relationship between the set of all normal fuzzy ideals of a pseudo‐hoop
Teferi Getachew Alemayehu +1 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
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Certain Concepts of Q‐Hesitant Fuzzy Ideals
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The hesitant fuzzy set model has attracted the interest of scholars in various fields. The striking framework of hesitant fuzzy sets is keen to provide a larger domain of preference for fuzzy information modeling of deployment membership. Starting from the hybrid properties of hesitant fuzzy ideals (HFI), this paper constructs a new generalized hybrid ...
Lubna Abdul Aziz Alleheb +2 more
wiley +1 more source
Ideals in residuated lattices [PDF]
Carpathian Journal of Mathematics, 2021 "The notion of ideal in residuated lattices is introduced in [Kengne, P. C., Koguep, B. B., Akume, D. and Lele, C., L-fuzzy ideals of residuated lattices, Discuss. Math. Gen. Algebra Appl., 39 (2019), No. 2, 181–201] and [Liu, Y., Qin, Y., Qin, X. and Xu, Y., Ideals and fuzzy ideals in residuated lattices, Int. J. Math.
Anca-Maria Dina +2 more
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On Semitopological De Morgan Residuated Lattices [PDF]
Transactions on Fuzzy Sets and Systems, 2023 The class of De Morgan residuated lattices was introduced by L. C. Holdon (Kybernetika 54(3):443-475, 2018), recently, many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
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Sheaf of Residuated Lattices [PDF]
This paper explores the interface between algebra, topology, and logic by developing the theory of sheaves and etale spaces for residuated lattices, algebraic structures central to substructural and fuzzy logics. We construct stalkwise-residuated etale spaces and demonstrate that they form a subcategory of the category of etale spaces of sets.
Saeed Rasouli
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Priestley duality for MV-algebras and beyond [PDF]
, 2020 We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations
Fussner, Wesley +3 more
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A theorem on residuated lattices
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1957 Kentaro Murata
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The sheaf representation of residuated lattices
Electronic Notes in Theoretical Informatics and Computer Science, 2023 The residuated lattices form one of the most important algebras of fuzzy logics and have been heavily studied by people from various different points of view. Sheaf presentations provide a topological approach to many algebraic structures. In this paper, we study the topological properties of prime spectrum of residuated lattices, and then construct a ...
Zhang, Huarong, Zhao, Dongsheng
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