Results 111 to 120 of about 748 (136)

F ⁿ -Hypergroups based on fuzzy hyperoperations and fundamental relations

Journal of Intelligent & Fuzzy Systems, 2014
In this paper, the notion of fuzzy n-hypergroups (F n -hypergroups) by using the notion of F n -hyperoperations is introduced and some related properties are investigated. In this regards relationships between F n -hypergroups and n-hypergroups are considered.
Farshi, M., Davvaz, B.
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Fuzzy Sets and Algebraic Hyperoperations to Model Interpersonal Relations

2016
In Social Sciences propositions and descriptions of interpersonal relationships are given by means of linguistic expressions, which cannot be formalized with the classic binary logic. Then a necessary tool are fuzzy sets that give the possibility to measure the degree of belonging of an element to a set described by a linguistic property or the degree ...
MATURO, Antonio, Hoskova Mayerova, Sarka
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Hyperoperations on {0 ,1 ,2 } based on min, max, and universal literal operations

33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings., 2004
This paper will discuss functions with hyperstructure based on Min, Max, and Universal Literal operations on {0, 1, 2}. These three types of operations will be expanded into operations on the set P/sub 3/ of non-empty subsets of {0, 1, 2}. Then, the paper will define a special type of compositions, called formulas, and will show a necessary and ...
N. Takagi, K. Nakashima
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Construction of TernaryH_v-groups and TernaryP-hyperoperations

Communications in Algebra, 2015
In this paper, we study the concept of ternary H v -groups and some their properties. We give some examples of ternary H v -groups. Also, we consider the fundamental relation β* on a ternary H v -group and prove that β* is a compatible relation on a ternary H v -group.
S. Mirvakili, S. M. Anvariyeh, B. Davvaz
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L-fuzzy ⋎ and ⋏ hyperoperations and the associated l-fuzzy hyperalgebras

Rendiconti del Circolo Matematico di Palermo, 2003
In this paper we study two fuzzy hyperoperations, denoted by ⋎ (which can be seen as a generalization of ∨) and ⋏ (which can be seen as a generalization of ∧). ⋎ is obtained from a family of crisp ∨;p hyperoperations and ⋏ is obtained from a family of crisp ∧p hyperoperations. The hyperstructure (X, ⋎, ∧) resembles ahyperlattice and the hyperstructure (
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H_v-structures associated withPQ-hyperoperations

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract The object of this article is the Hv -modules. These are generalizations of the known hypermodules where axioms are replaced by the weak ones. That is, instead of the equality on sets, one has non-empty intersections. A wide class of Hv -modules is the class of Hv -modules with external P-hyperoperations or P-Hv -modules.
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Alphabetical Hyperoperations and the Infinite Alphabet Notation

This work introduces 
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Exploring the Recursive and Inverse Structure of Hyperoperations

This paper explores the recursive and inverse behavior of hyperoperations, a hierarchy that extends exponentiation, tetration, and pentation to ever higher orders. While the structure of hyperoperations has long been known, their recursive formulation and inversion have not always been presented in a unified or general way.
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gK-algebra associated to polygroups

Afrika Matematika, 2021
R. Naghibi, S. Anvariyeh, B. Davvaz
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A Unified Framework for Generalized Arithmetic: Hyperoperations, Tropical Geometry, and Statistical Moments

In this paper, we investigate the role of commutative Bennett operations (commutativehyperoperations) in Min-Plus and Max-Plus algebras, and in the dequantization of classicalpolynomials into tropical polynomials. We reformulate the dequantization process usingcommutative Bennett operations, yielding a framework that suggests potential alternativesto ...
Mohammed Farhaan, Sanchit Kamat
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