Results 1 to 10 of about 941 (155)

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

F1000Research
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, Mihret Alamneh Taye, Selamawit Hunie Gelaw   +2 more
doaj   +5 more sources

Some Results of Fermatean Fuzzy Set on Subalgebras and Ideals of Bn-Algebras [version 2; peer review: 2 approved] [PDF]

F1000Research
Background Classical fuzzy sets have been generalized to better model uncertainty, leading to developments such as intuitionistic, Pythagorean, and Fermatean fuzzy sets.
Derebew Derso, Gerima Tefera, Eshetu Assen Teshome   +2 more
doaj   +2 more sources

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

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
doaj   +2 more sources

Generalized Fuzzy Soft Algebraic Structures

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2013
In this study we define generalized fuzzy soft group and fuzzy soft ring on generalized fuzzy soft sets and give some properties of these concepts.
Hacı Aktaş, Özlem Bulut
doaj   +3 more sources

Algebraic structures of interval-valued fuzzy -implications

International Journal of Approximate Reasoning, 2012
AbstractIn this paper, a new characterization with mutually independent requirements for the interval-valued fuzzy (S,N)-implications is presented, which provides a simple way to construct interval-valued fuzzy (S,N)-implications using continuous fuzzy negations.
Dechao Li, Yongming Li
exaly   +2 more sources

(ANTI) FUZZY IDEALS OF SHEFFER STROKE BCK-ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
The aim of this study is to introduce (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these structures are ...
Tahsin Oner, T Kalkan, Arsham Borumand Saeid   +2 more
doaj   +1 more source

A note on operations of hesitant fuzzy sets [PDF]

International Journal of Computational Intelligence Systems, 2015
In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
doaj   +1 more source

Anti-Fuzzy Multi-Ideals of Near Ring

Mathematics, 2021
Recently, fuzzy multisets have come to the forefront of scientists’ interest and have been used for algebraic structures such as groups, rings, and near rings.
Sarka Hoskova-Mayerova, Madeline Al Tahan   +1 more
doaj   +1 more source

Rough Substructures Based on Overlaps of Successor in Quantales Under Serial Fuzzy Relations

IEEE Access, 2023
In this research article, a new connection between serial fuzzy relations and an extended version of rough sets in an algebraic structure quantale is established.
Saqib Mazher Qurashi, Bander Almutairi, Rani Sumaira Kanwal, Mladen Krstic, Muhammad Yousaf   +4 more
doaj   +1 more source

Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras

Mathematics, 2020
The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
doaj   +1 more source