Results 21 to 30 of about 576 (163)
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
The Lattice Structures of Approximation Operators Based on L‐Fuzzy Generalized Neighborhood Systems
Complexity, Volume 2021, Issue 1, 2021., 2021 Following the idea of L‐fuzzy generalized neighborhood systems as introduced by Zhao et al., we will give the join‐complete lattice structures of lower and upper approximation operators based on L‐fuzzy generalized neighborhood systems. In particular, as special approximation operators based on L‐fuzzy generalized neighborhood systems, we will give the
Qiao-Ling Song +6 more
wiley +1 more source
Applied Categorical Structures, 2022 It is often stated that Frobenius quantales are necessarily unital. By taking negation as a primitive operation, we can define Frobenius quantales that may not have a unit. We develop the elementary theory of these structures and show, in particular, how to define nuclei whose quotients are Frobenius quantales.
Cédric de Lacroix, Luigi Santocanale
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Letters in Applied Microbiology, 2000 Quantal microbiology describes a similarity between physics and microbiology. In both sciences there is an apparent dichotomy between the certainty and stability of the macro-subject and the uncertainty/complexity of the individual atom/cell. Classical physics is to quantum mechanics as classical microbiology is to quantal microbiology.
E Y, Bridson, G W, Gould
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Fuzzy Sets and Systems, 2023 In this paper, we show that marked quantales have a reflection into quantales. To obtain the reflection we construct free quantales over marked quantales using appropriate lower sets. A marked quantale is a posemigroup in which certain admissible subsets are required to have joins, and multiplication distributes over these. Sometimes are the admissible
Xia Zhang +3 more
openaire +4 more sources
Propositional Logics for the Lawvere Quantale [PDF]
, 2023 Lawvere showed that generalised metric spaces are categories enriched over $[0, \infty]$, the quantale of the positive extended reals. The statement of enrichment is a quantitative analogue of being a preorder.
Bacci, Giorgio +5 more
core +1 more source
Convolution Algebras: Relational Convolution, Generalised Modalities and Incidence Algebras [PDF]
Logical Methods in Computer Science, 2021 Convolution is a ubiquitous operation in mathematics and computing. The Kripke semantics for substructural and interval logics motivates its study for quantale-valued functions relative to ternary relations. The resulting notion of relational convolution
Brijesh Dongol +2 more
doaj +1 more source
New characterization theorems of the mp-quantales [PDF]
Journal of Fuzzy Extension and Applications, 2021 The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj +1 more source
Local T0 and T1 quantale valued preordered spaces
, 2022 Bu tez çalışmasının temel amacı quantale değerli önsıralı uzaylar kategorisinde bir p noktasında T0 ve T1 objeleri karakterize ederek arasındaki ilişkiyi araştırmak ve bu objelerin kalıtsal ve çarpımsal olup olmadıklarını incelemektir.
Güneş, Mesut, Özkan, Samed
core +2 more sources