Results 91 to 100 of about 397,265 (146)

Intuitionistic fuzzy group subalgebras

Notes on Intuitionistic Fuzzy Sets
This paper presents a systematic investigation of intuitionistic fuzzy algebraic structures associated with group algebras. We introduce the concept of an intuitionistic fuzzy group subalgebra (IFGSA) of an intuitionistic fuzzy group algebra (IFGA) constructed from the group algebra K[G], where G is a finite group and K is a field.
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Fuzzy Nilpotent Lie Algebras: Bases, Isomorphisms, and a Measure of Nilpotency

Axioms
This paper investigates the structure of fuzzy Lie subalgebras, with particular emphasis on isomorphisms and nilpotency. Building on two prior conference contributions, one of which established foundational results on fuzzy bases of Lie algebras, we ...
Giuseppe Filippone, Mario Galici, Gianmarco La Rosa, Federica Piazza, Marco Elio Tabacchi   +4 more
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Fuzzy PTM subalgebra of PTM - algebra

F1000Research
Background This article introduces the concept of fuzzy pseudo-TM subalgebra (FPTMSA) of pseudo-TM algebra (PTMA). This study explores the relationship between FPTMSAs and their level sets within the context of PTMA. It further investigates the homomorphic behavior of FPTMSAs under various algebraic operations, thereby providing a foundation for ...
Alemayehu Girum Melaku, Berhanu Assaye Alaba, Bekalu Tarekegn Bitew, Beza Lamesgin Derseh   +3 more
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Fuzzy Ideals and Fuzzy Filters on Implication Algebras [version 1; peer review: 1 approved, 2 approved with reservations]

F1000Research
Background In this paper, we present the intersection of a family of fuzzy ideals and fuzzy filters as fuzzy ideals and fuzzy filters, respectively.
Derebew Nigussie Derso, Gerima Tefera Dejen   +1 more
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A New Perspective on Intuitionistic Fuzzy Structures in Sheffer Stroke BCK-Algebras

Axioms
This study introduces the concept of an intuitionistic fuzzy SBCK-subalgebra (SBCK-ideal) and explores the level set of an intuitionistic fuzzy set within the context of Sheffer stroke BCK-algebras.
Ravi Kumar Bandaru, Rajesh Neelamegarajan, Tahsin Oner, Amal S. Alali   +3 more
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T-Fuzzy Structure on JU-Algebra [version 1; peer review: 3 approved]

F1000Research
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, Berhanu Assaye Alaba, Mihret Alamneh Taye   +2 more
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Fuzzy subalgebras and the lattice of fuzzy subalgebras in universal algebra

Fuzzy subalgebras and the lattice of fuzzy subalgebras in universal algebra
doctoral 理工学研究科 乙第124号 application ...
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Łukasiewicz Anti Fuzzy Subalgebras of BCK/BCI-Algebras

Kragujevac Journal of Mathematics
The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti fuzzy subalgebra is given, and characterization
Kang, Jeong Gi, Bordbar, Hashem
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On Fuzzy Translations and Fuzzy Multiplications of Fuzzy Ideals and Subalgebras in Hilbert Algebras

European Journal of Pure and Applied Mathematics
The interplay between fuzzy structures and algebraic systems has been an active area of research due to its theoretical significance and potential applications in fuzzy logic, approximate reasoning, and non-classical algebraic frameworks. In this paper, we introduce and investigate the notions of fuzzy translations and fuzzy multiplications of fuzzy ...
Aiyared Iampan, Neelamegarajan Rajesh, K. Geetha   +2 more
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Bipolar Complex Intuitionistic Fuzzy Lie Algebras

Mathematics
We introduce and study bipolar complex intuitionistic fuzzy Lie algebras (BCIFLAs), a new algebraic framework merging bipolar fuzzy theory, complex-valued membership functions in Cartesian form, and intuitionistic fuzzy Lie algebra theory.
Abd Ulazeez Alkouri, Osama Ogilat, Hasan Almutairi   +2 more
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