Results 21 to 30 of about 285,696 (284)

Solvable groups derived from fuzzy hypergroups

Ratio Mathematica, 2015
In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group.
E. Mohammadzadeh, T. Nozari
doaj   +1 more source

Some characterizations of fuzzy comultisets and quotient fuzzy multigroups

Ratio Mathematica, 2020
The idea of fuzzy multisets has been applied to some group theoretic notions. Nonetheless, the notions of cosets and quotient groups have not been substantiated in fuzzy multigroup environment.
Augustine Paul
doaj   +1 more source

Electricity load profile classification using Fuzzy C-Means method [PDF]

, 2008
This paper presents the Fuzzy C-Means (FCM) clustering method. The FCM technique assigns a degree of membership for each data set to several clusters, thus offering the opportunity to deal with load profiles that could belong to more than one group at ...
Bradley, D., King, David J., Ozveren, C. S., Prahastono, Iswan   +3 more
core   +3 more sources

Fuzzy congruences on groups and rings

International Journal of Mathematics and Mathematical Sciences, 1994
We prove that the lattice of fuzzy congruences of a group G (resp. ring R) is isomorphic to the lattice of fuzzy normal subgroups of G (resp. fuzzy ideals of R).
Marouf A. Samhan, T. M. G. Ahsanullah
doaj   +1 more source

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment

International Journal of Computational Intelligence Systems, 2023
The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Sajida Kousar, Sidra Arshad, Nasreen Kausar, Tzung-Pei Hong   +3 more
doaj   +1 more source

Interval Type-2 Fuzzy Envelope of Proportional Hesitant Fuzzy Linguistic Term Set: Application to Large-Scale Group Decision Making

Mathematics, 2022
Large-scale group decision-making (LS-GDM) problems are common in the daily life of human beings. Both information fusion and computing with words (CWW) technologies in LS-GDM suffer from challenges. In the current research, a proportional hesitant fuzzy
Yaya Liu, Rosa M. Rodríguez, Luis Martínez   +2 more
doaj   +1 more source

Fuzzy Bigroup from another Viewpoint

Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016
In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra.
L. S. Akinola, Y. T. Oyebo, E. O. Abolarin, A. M. Udoye, L. O. Salaudeen   +4 more
doaj   +3 more sources

On commutativity of intuitionistic L-fuzzy groups [PDF]

Notes on IFS
In this paper, we discuss the commutativity of an intuitionistic L-fuzzy subgroup of a group. Some necessary and sufficient conditions for an intuitionistic L-fuzzy subgroup to be commutative are derived.
Poonam Kumar Sharma
doaj   +1 more source

A survey on fuzzy semigroups

Ratio Mathematica, 2021
Fuzzy semigroup is an algebraic extension of semigroup. It has found application in fuzzy coding theory, fuzzy nite state machines and fuzzy languages. In this paper, a comprehensive literature review on fuzzy semigroup theory is realized.
Johnson Aderemi Awolola, Musa Adeku Ibrahim   +1 more
doaj   +1 more source

Gradual Sets: An Approach to Fuzzy Sets

Advances in Fuzzy Systems, 2023
In the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual ...
Josefa M. García, Pascual Jara
doaj   +1 more source