Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras [PDF]
The 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
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Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras
International 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
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Q-fuzzy structure on JU-algebra [version 1; peer review: 1 approved, 2 approved with reservations] [PDF]
F1000ResearchBackground 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
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Fuzzy Set Theory Applied on Autometrized Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis 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
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T-Fuzzy Structure on JU-Algebra [version 1; peer review: 3 approved] [PDF]
F1000ResearchIntroduction 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
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Cubic Subalgebras and Cubic Closed Ideals of B-algebras
Fuzzy Information and Engineering, 2015 In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of B-algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of B-algebras investigated. The homomorphic image and inverse image
Tapan Senapati +3 more
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Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]
The 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
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Complex fuzzy lie subalgebras and complex fuzzy ideals under t-norms [PDF]
Journal of Fuzzy Extension and Applications, 2023 In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and relationship between them.
Rasul Rasuli
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Hesitant Fuzzy Subalgebras, Ideals and Congruences on Autometrized Algebras. [PDF]
F1000ResThis paper introduces the study of hesitant fuzzy subalgebras of autometrized algebras, obtains some of their properties, and gives some examples. Next, we introduce the concept of the hesitant fuzzy ideal and examine some of its properties. Finally, we introduce a hesitant fuzzy congruence on autometrized algebras and discuss some of its properties ...
Tilahun GY.
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Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras [PDF]
Neutrosophic Sets and Systems, 2018 Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal.
G. Muhiuddin +3 more
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