Results 1 to 10 of about 35,494 (274)

On Fuzzy Ideals of BL-Algebras [PDF]

The Scientific World Journal, 2014
In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
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An efficient approach to study multi-polar fuzzy ideals of semirings [PDF]

Scientific Reports
The multi polar fuzzy (m-PF) set has an extensive range of implementations in real world problems related to the multi-polar information, multi-index and multi-attributes data. This paper introduces innovative extensions to algebraic structures.
Shahida Bashir, Talal Alharbi, Rabia Mazhar, Issra Khalid, Muneeb ul Hassan Afzal, Nauman Riaz Chaudhry   +5 more
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(inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras

International Journal of Analysis and Applications, 2022
In this paper, we introduce the concept of (inf, sup)-hesitant fuzzy ideals, which is a generalization of the concept of interval-valued fuzzy ideals, in BCK/BCI-algebras and its related properties are investigated. The concept is established in terms of
Noppakao Ratchakhwan, Pongpun Julatha, Thiti Gaketem, Pannawit Khamrot, Rukchart Prasertpong, Aiyared Iampan   +5 more
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Applications of hesitant fuzzy sets to ternary semigroups

Heliyon, 2020
The aim of this paper is to introduce a new concept of hesitant fuzzy bi-ideals and hesitant fuzzy interior ideals on ternary semigroups. We extend the concept of fuzzy bi-ideals and fuzzy interior ideals to the context of hesitant fuzzy bi-ideals and ...
Pairote Yiarayong
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Intuitionistic fuzzy weakly prime ideals [PDF]

Journal of Hyperstructures, 2017
In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries.
Tu˘gba Arkan, Serkan Onar, Deniz S¨onmez, Bayram Ersoy   +3 more
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Fuzzy Ideals in Pseudo-Hoop Algebras

International Journal of Mathematics and Mathematical Sciences, 2022
In this study, fuzzy ideals in pseudo-hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo-hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo-hoop algebras and identify and
Teferi Getachew Alemayehu
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Generalizations of Fuzzy q-Ideals of BCI-Algebras

Journal of Mathematics, 2022
In this paper, we introduce the notion of ∈,∈∨κ∗,qκ-fuzzy q-ideals of BCI-algebras to propose a more general form of fuzzy q-ideals of BCI-algebras. We prove that ∈,∈∨q-fuzzy q-ideals and ∈∨κ∗,qκ,∈∨κ∗,qκ-fuzzy q-ideals are ∈,∈∨κ∗,qκ-fuzzy q-ideals, but ...
G. Muhiuddin, D. Al-Kadi, A. Mahboob, A. Assiry, Abdullah Alsubhi   +4 more
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(∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras

Journal of Function Spaces, 2021
In this paper, the idea of ∈,∈∨q˘-bipolar fuzzy b-ideals and an ∈,∈∨q˘-bipolar fuzzy ideals of BCK/BCI-algebras is delivered, and their related properties are investigated with the aid of some examples.
M. Mursaleen, M. Balamurugan, K. Loganathan, Kottakkaran Sooppy Nisar   +3 more
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On Tripolar Fuzzy Pure Ideals in Ordered Semigroups

International Journal of Analysis and Applications, 2022
Tripolar fuzzy sets are a concept that deals with tripolar information. This idea is a generalization of bipolar and intuitionistic fuzzy sets. In this paper, the notions of tripolar fuzzy pure ideals in ordered semigroups are introduced, and some ...
Nuttapong Wattanasiripong, Jirapong Mekwian, Hataikhan Sanpan, Somsak Lekkoksung   +3 more
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Generalized Hesitant Fuzzy Ideals in Semigroups

Journal of Mathematics, 2020
In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (resp.
G. Muhiuddin, A. M. Alanazi, A. Mahboob, D. Al-Kadi   +3 more
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