Results 71 to 80 of about 154 (98)
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GENERALIZED FUZZY POLYGROUPS

2006
small Polygroups are multi-valued systems that satisfy group-like axioms. Using the notion of "belonging (2)" and "quasi-coincidence (q)" of fuzzy points with fuzzy sets, the concept of (2,2 _q)-fuzzy subpolygroups is introduced. The study of (2,2 _q)-fuzzy normal subpolygroups of a polygroup are dealt with. Characterization and some of the fundamental
CORSINI, Piergiulio, DAVVAZ B.
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The Polygroup Technique

The Mathematics Teacher, 1971
High school mathematics teachers are frequently criticized for a lack of variety in their teaching methods. The typical class period consists of an examination of homework, then an introduction of new material (usually by lecture), followed by supervised study. An alternative to this routine is suggested in the following paragraphs.
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On wreath product of n-polygroups

Journal of Algebra and Its Applications, 2015
In this paper, we shall introduce thin n-subpolygroups of a given n-polygroup and in this regards, the notion of wreath product of n-polygroups will be studied. Also, double cosets of n-polygroups are investigated and the classical isomorphism theorems of groups are generalized to n-polygroups. The main result of the paper is that a finite n-polygroup
Mirvakili, S., Farshi, M., Davvaz, B.
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Approximations in left almost polygroups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 2018
In this paper, we study the idea of rough approximations in LA-polygroups, and present some examples in this respect. In particular, we study some properties of rough LA-subpolygroup which is an extension of LA-subpolygroup. We prove that the lower (upper) approximation of an LA-subpolygroup is an LA-subpolygroup.
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Studies on fuzzy topological polygroups

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, we study fuzzy topological polygroups and prove some results in this respect. Denote by FC  ( Y , Z ) the set of all fuzzy continuous functions from a fuzzy topological space Y
N. Abbasizadeh   +2 more
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Topological polygroups in the framework of fuzzy sets

Journal of Intelligent & Fuzzy Systems, 2016
This paper provides a new connection between algebraic hyperstructures and fuzzy sets. The concept of fuzzy topological polygroups is a generalization of the concept of fuzzy topological groups. In this paper, we present the concept of fuzzy topological polygroups and prove some results in this respect.
N. Abbasizadeh, Bijan Davvaz
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Characterization of small polygroups by their fundamental groups

Discrete Mathematics, Algorithms and Applications, 2019
In this paper, we consider polygroup [Formula: see text] and prove necessary and sufficient conditions such that [Formula: see text] is non-commutative. Then by using the Maple programming, we obtain all polygroups of order less than five up to isomorphism.
D. Heidari, Bijan Davvaz
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Construction of n-ary F-polygroups

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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N-ARY POLYGROUPS

2009
Polygroups are multivalued systems that satisfy group like axioms. In this paper the class of n-arypolygroups is introduced. The concepts of n-ary normal subpolygroups and strong homomorphisms of n-arypolygroups are adopted. With respect to these concepts the isomorphism theorems for n-ary polygroups arestated and proved.
GHADIRI, M., WAPHARE, B. N.
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Lagrange Theorem for polygroups

2015
So far, isomorphism theorems in hyperstructure were proved for different structures of polygroups, hyperrings and etc. Inthis paper, the polygroups properties is studied with the introduction of a suitable equivalence relation. We show that the above relationis strongly regular.
Sedighi, Alireza   +1 more
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