Results 181 to 190 of about 673,590 (252)
A New Approach to \'{E}tal\'{e} Spaces of Residuated Lattices
Saeed Rasouli, S. N. Hosseini
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The axiomatic characterization on fuzzy variable precision rough sets based on residuated lattice
International Journal of General Systems, 2023Axiomatization is a lively research direction in fuzzy rough set theory. Fuzzy variable precision rough set (FVPRS) incorporates fault-tolerant factors to fuzzy rough set, so its axiomatic description becomes more complicated and difficult to realize. In
Qiu Jin, Lingqiang Li
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The category of residuated lattice valued filter spaces
Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2021Considering L as a complete residuated lattice, some further investigations on L-filter spaces are made. Firstly, it is shown that the category L-Fil of L-filter spaces is monoidal closed. Secondly, it is proved that the categories of L-Cauchy spaces and
Lin Zhang, B. Pang
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Integral transforms on spaces of complete residuated lattice valued functions
IEEE International Conference on Fuzzy Systems, 2020The aim of this paper is to introduce two types of integral transforms that naturally generalize the lower and upper fuzzy transforms for the residuated lattice valued functions.
M. Holčapek, V. Bui
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Statistical Relative Uniform Convergence in Dually Residuated Lattice Totally Ordered Semigroups
Sarajevo Journal of Mathematics, 2020We define the notions of statistical relative uniform convergence and statistical relative uniform Cauchy in dually residuated lattice totally ordered semigroups (simply, DRlt-semigroups).
K. Demirci, S. Yıldız
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On residuation in paraorthomodular lattices
Soft Computing, 2020Paraorthomodular lattices are quantum structures of prominent importance within the framework of the logico-algebraic approach to (unsharp) quantum theory. However, at the present time it is not clear whether the above algebras may be regarded as the algebraic semantic of a logic in its own right.
Chajda I., Fazio D.
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Fuzzy Regular Languages Based on Residuated Lattice
New Mathematics and Natural Computation, 2020The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduce the categorical look of fuzzy languages where the codom...
Anupam K. Singh, S. Tiwari
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Relation equations in residuated lattices [PDF]
Rendiconti del Circolo Matematico di Palermo, 1989 The Boolean matrix equation \(AX=B\) has been studied by \textit{R. D. Luce} [Proc. Am. Math. Soc. 3, 382-388 (1952; Zbl 0048.023); see also the reviewer: Boolean functions and equations (1974; Zbl 0321.06013)]. \textit{E. Sanchez} [Inf. Control 30, 38-48 (1976; Zbl 0326.02048)] replaced Boolean matrices by fuzzy relations, i.e.
DI NOLA, Antonio, LETTIERI, Ada
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Studia Scientiarum Mathematicarum Hungarica, 2021
In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals.
Arsham Borumand Saeid +1 more
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In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals.
Arsham Borumand Saeid +1 more
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Congruences in residuated lattices [PDF]
2015 7th International Conference on Modelling, Identification and Control (ICMIC), 2015 The aim of this paper is to study congruences in residuated lattices. A congruence in an algebra in a universal sense is an equivalence which preserves all the algebraic operations. In every residuated lattice (L, ∧, ∨, ⊗, →), we show that an equivalence is a universal congruence, iff it preserves both → and ∧, iff it is respect to both → and ∨. If the
Shuang Feng, Jingmei Yang
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