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(Fuzzy) Ideals of BN-Algebras. [PDF]

ScientificWorldJournal, 2015
The notions of an ideal and a fuzzy ideal in BN‐algebras are introduced. The properties and characterizations of them are investigated. The concepts of normal ideals and normal congruences of a BN‐algebra are also studied, the properties of them are displayed, and a one‐to‐one correspondence between them is presented. Conditions for a fuzzy set to be a
Dymek G, Walendziak A.
europepmc   +5 more sources

Fuzzy $h$-ideals of hemirings [PDF]

Information Sciences, 2006
A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated.
Aho, Baik, Bogdanov, Cohen, Dubois, Ghosh, Glazek, Golan, Hashiguchi, Henriksen, Iizuka, Jianming Zhan, Jun, Kondo, La Torre, Malik, Mukherjee, Piochi, Roos, Salomaa, Wechler, Wiesław A. Dudek, Zhan   +22 more
core   +3 more sources

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
doaj   +6 more sources

Fuzzy prime ideals redefined [PDF]

Journal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.

core   +4 more sources

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
doaj   +2 more sources

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
doaj   +2 more sources

(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
doaj   +1 more source

Decomposition of fuzzy ideal continuity via fuzzy idealization [PDF]

International Journal of Fuzzy Logic and Intelligent Systems, 2009
Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy α-I-open and r-fuzzy β-I-open sets, which is properly placed between r-fuzzy openness ...
Ahmed M. Zahran, S. Ahmed Abd El-Baki, Yaser Mohammed Saber   +2 more
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source