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Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014).
Young Bae Jun   +2 more
doaj   +5 more sources

Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras

open access: yesInternational Journal of Analysis and Applications, 2022
The concepts of fuzzy subalgebras and ideals with thresholds of Hilbert algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of fuzzy sets as a foundation. We also talk about the connections
Aiyared Iampan   +3 more
doaj   +2 more sources

Q-fuzzy structure on JU-algebra [version 1; peer review: 1 approved, 2 approved with reservations] [PDF]

open access: yesF1000Research
Background JU-algebras, an important class in abstract algebra, are extended here by incorporating fuzzy set theory to handle uncertainty in algebraic structures.
Birhanu Assaye Alaba   +2 more
doaj   +2 more sources

Fuzzy Set Theory Applied on Autometrized Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]

open access: yesF1000Research
This paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the
Gebrie Yeshiwas Tilahun
doaj   +2 more sources

T-Fuzzy Structure on JU-Algebra [version 1; peer review: 3 approved] [PDF]

open access: yesF1000Research
Introduction This study explored the application of T-norms in fuzzy algebra, specifically by examining JU-subalgebras and JU-ideals derived from crisp JU-algebras. We investigated the properties of the T-fuzzy structures within this algebraic framework.
Selamawit Hunie Gelaw   +2 more
doaj   +2 more sources

Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
The concept of soft translations of soft subalgebras and soft ideals over BCI/BCK-algebras is introduced and some related properties are studied. Notions of Soft extensions of soft subalgebras and soft ideals over BCI/BCK-algebras are also initiated ...
Nazra Sultana   +3 more
doaj   +2 more sources

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

open access: yesAxioms, 2023
In the given study, we intended to gain familiarity with the idea of fuzzy Hom–Lie subalgebras (ideals) of Hom–Lie algebras. It primarily seeks to study a few of their properties.
Shadi Shaqaqha
doaj   +1 more source

Interval Valued m-polar Fuzzy BCK/BCI-Algebras

open access: yesInternational Journal of Computational Intelligence Systems, 2021
The notion of interval-valued m-polar fuzzy sets (abbreviated IVmPF) is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of IVmPF on BCK/BCI-algebras.
G. Muhiuddin, D. Al-Kadi
doaj   +1 more source

Interval-Valued Intuitionistic Fuzzy Subalgebras/Ideals of Hilbert Algebras

open access: yesInternational Journal of Analysis and Applications, 2022
In this paper, the concept of interval-valued intuitionistic fuzzy sets to subalgebras and ideals of Hilbert algebras is introduced. The inverse image of interval-valued intuitionistic fuzzy subalgebras and interval-valued intuitionistic fuzzy ideals of ...
Aiyared Iampan   +3 more
doaj   +1 more source

Neutrosophic Cubic Subalgebras and Neutrosophic Cubic Closed Ideals of B-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
The objective of this paper is to introduced the concept of neutrosophic cubic set to subalgebras, ideals and closed ideals of B-algebra. Links among neutrosophic cubic subalgebra with neutrosophic cubic ideals and neutrosophic closed ideals of B ...
Rakib Iqbal   +2 more
doaj   +1 more source

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