Anas Al-Masarwah

Ajloun National University · Department of Mathematics

In this research article, we study some properties of doubt bipolar fuzzy H-ideals inBCK/ BCI-algebras. Doubt bipolar fuzzy H-ideals are connected with doubt bipolar fuzzy subalgebras and doubt bipolar fuzzy ideals. Moreover, doubt bipolar fuzzy H-ideals are characterized using doubt positive t-level cut set, doubt negative s-level cut set and H-Ar...

In this paper, we introduce the concepts of uniform vertex fuzzy soft graphs, uniform edge fuzzy soft graphs, degree of a vertex, total degree of a vertex and complement fuzzy soft graphs with some examples. Also, we study regular and totally regular fuzzy soft graphs, and the conditions under which the complement of regular fuzzy soft graph becom...

In this paper, we introduce some new concepts of fuzzy soft graphs with the notions of complement and μ-complement fuzzy soft graphs introduced. Investigating some of their properties, we show that the complement of strong fuzzy soft graph is strong fuzzy soft one as well as the complement of a complete fuzzy soft graph is complete fuzzy soft one....

The notions of doubt bipolar fuzzy subalgebras and (closed) doubt bipolar fuzzy ideals are introduced, and related properties are investigated. Characterizations of a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are given, and relations between a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are discussed. The con...

The notions of m-polar fuzzy subalgebras and m-polar fuzzy (closed, commutative) ideals are introduced, and related properties are investigated. Characterizations of m-polar fuzzy subalgebras and m-polar fuzzy (commutative) ideals are considered. Relations between m-polar fuzzy subalgebras, m-polar fuzzy ideals and m-polar fuzzy commutative ideals...

A quadri-polar fuzzy (qP-F) set is an extension of a traditional fuzzy set that uses four degrees of membership to represent different aspects of belonging to provide a more detailed framework for handling uncertainty and vagueness. In this paper, we propose the notion of quadri-polar-(ϖ, ϑ)-fuzzy fantastic ideals (qP-(ϖ, ϑ)-FF I(s)) in BCI-algebra...

An interval-valued fuzziness structure is an effective approach addressing ambiguity and for expressing people's hesitation in everyday situations. An $ \mathcal{N} $-structure is a novel technique for solving practical problems. This is beneficial for resolving a variety of issues, and a lot of progress is being made right now. In order to develop...

The concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras. We present the concept of a complex fuzzy subalgebra in a BCK/BCI-algebra and explore their properties. Furthermor...

This paper introduces the concept of the direct product of sets that involve Fermatean neutrosophic elements in structures called INK-algebras. It defines terms like the direct product of Fermatean neutrosophic INK-ideals in INK-algebras and Fermatean neutrosophic sets (FNSs), Fermatean neutrosophic INK-ideals (FNINK-Is), and Fermatean neutrosophic...

Complex neutrosophic graphs are created by combining complex neutrosophic sets with graph theory ideas. This provides a flexible framework for tackling complex problem-solving circumstances. Various processes, such as union, join, and composition, are thoroughly investigated to improve the administration of complicated neutrosophic graphs. This res...

The concept of $ k $-folded $ \mathcal{N} $-structures ($ k $-F$ \mathcal{N} $Ss) is an essential concept to be considered for tackling intricate and tricky data. In this study, we want to broaden the notion of $ k $-F$ \mathcal{N} $S by providing a general algebraic structure for tackling $ k $-folded $ \mathcal{N} $-data by fusing the conception...

In this paper, as a further generalization of m-polar fuzziness subalgebras, we present the conception of an m-polar (ω,θ)-fuzzy subalgebra in BCK/BCI-algebras and discuss some interesting properties of it. We define an m-polar (∈γˆ,∈γˆ∨qδˆ)-fuzzy subalgebras and explore some of its significant attributes. Certain features of m-polar (∈γˆ,∈γˆ∨qδˆ)-...

The scheme of rough sets is an effective procedure that handle ambiguous, inexact or uncertain information configuration. Rough set theory for algebraic structures like semigroups is a formal approximation space consisting of a universal set and an equivalence relation. This article achieves a new utilization of rough sets in the theory of semigrou...

In recent years, the $m$-polar fuzziness structure and the cubic structure have piqued the interest of researchers and have been commonly implemented in algebraic structures like groupoids, semigroups, groups, rings and lattices. The cubic $m$-polar ($\mathcal{C}_{m}\mathcal{P}$) structure is a generalization of $m$-polar fuzziness and cubic struct...

Cubic multipolar structure with finite degree (briefly, cubic $k$-polar ($C_{k}P$) structure) is a new hybrid extension of both $k$-polar fuzzy ($_{k}PF$) structure and cubic structure in which $C_{k}P$ structure consists of two parts; the first one is an interval-valued $k$-polar fuzzy ($IV_{k}PF$) structure acting as a membership grade extended f...

In this article, a new idea of BMBJ-neutrosophic hyper-BCK-algebras is introduced and some of its properties are investigated. Here, BMBJ-neutrosophic hyper-BCK-ideal, BMBJ-neutrosophic weak hyper-BCK-ideal, BMBJ-neutrosophic s-weak hyper-BCK-ideal, and BMBJ-neutrosophic strong hyper-BCK-ideal are presented, and some relevant results and relations...

In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra. The notions of the MBJ-neutrosophic hyper BCK-ideal, the MBJ-neutrosophic w...

In the present paper, we introduce some new notions on ordered semigroup. In fact, notion of a convex soft set in an ordered semigroup is introduced, and its basic properties are investigated. Moreover, we consider a characterization of a convex soft set. Furthermore, relations between a convex soft set and an int-soft [Formula: see text]-ideal (or...

This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. Then, we introduce the concepts of m-polar $(\in,\in \vee q)$-fuz...

The notions of doubt N-subalgebras and doubt N-ideals in BCK-algebras are introduced, and related properties are investigated. Characterizations of a doubt N-subalgebra and a doubt N-ideal are given, and relations between them are discussed.

Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras. At present, there exist no results on doubt neutrosophic ideals of BCK/BCI-algebras using t-conorm and t-norm. First, the notions...

In this article, we present the idea of quasi-coincidence of an m-polar fuzzy point with an m-polar fuzzy subset. By utilizing this new idea, we further introduce the notion of m-polar (α,β)fuzzy subalgebras in BCK/BCI-algebras which is a generalization of the idea of (α,β)-bipolar fuzzy subalgebras in BCK/BCI-algebras. Some interesting results of...

In this paper, we introduce the concepts of normal m-polar fuzzy subalgebras, maximal m-polar fuzzy subalgebras and completely normal m-polar fuzzy subalgebras in BCK/BCI-algebras. We discuss some properties of normal (resp., maximal, completely normal) m-polar fuzzy subalgebras. We prove that any non-constant normal m-polar fuzzy subalgebra which...

In this paper, the idea of (S, T) -normed doubt neutrosophic ideals of BCK/BCI-algebras is introduced and the characteristic properties are described. Then, images and preimages of (S, T) -normed doubt neutrosophic ideals under homomorphism are considered.

Multi-polar vagueness in data plays a prominent role in several areas of the sciences. In recent years, the thought of m-polar fuzzy sets has captured the attention of numerous analysts, and research in this area has escalated in the past four years. Hybrid models of fuzzy sets have already been applied to many algebraic structures, such as BCK/BCI...

In this paper, we introduce the notion of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras and investigate some interesting properties. We characterize strong doubt positive t-level cut set, strong doubt negative s-level cut set, homomorphism and equivalence relation by considering doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. Characterization...