G. Muhiuddin

University of Tabuk, Mathematics, Faculty Member

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G. Muhiuddin is a Professor at the Department of Mathematics, University of Tabuk, Tabuk 71491, Ministry of Higher Education, Saudi Arabia.
Address: Department of Mathematics,
Faculty of Science,
University of Tabuk,
P. O. Box 741,
Tabuk 71491, Saudi Arabia
chishtygm@gmail.com

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Papers by G. Muhiuddin

Algebraic structures on Soft𝔈(𝕃)

Discrete Mathematics, Algorithms and Applications, Dec 7, 2023

Neutrosophic κ-structures in an AG-groupoid

Zenodo (CERN European Organization for Nuclear Research), Oct 2, 2023

An AG-groupoid is the midway between commutative semigroup and groupoid. The core structure of Fl... more An AG-groupoid is the midway between commutative semigroup and groupoid. The core structure of Flock theory is an AG-groupoid, which focuses on motion replication and distance optimization and has numerous applications in physics and biology. Unfortunately, in many cases, modelling real-world problems in domains like computer science, operations research, artificial intelligence, control engineering, and robotics can be risky. Different theories, such as fuzzy sets, intuitionistic fuzzy sets, probability, soft sets, neutrosophic sets, and others, have been created to deal with similar situations. In this paper, We define the notions of neutrosophic κ-ideal structures in an AG-groupoid and investigate their properties. We also obtain equivalent assertion of neutrosophic κ-ideals and product of neutrosophic κ-structures in AG-groupoid.

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Hybrid bi-ideals in Near- Subtraction Semigroups

Hacettepe Journal of Mathematics and Statistics, Jan 9, 2024

The fuzzy set is an excellent solution for dealing with ambiguity and for expressing people's hes... more The fuzzy set is an excellent solution for dealing with ambiguity and for expressing people's hesitation in regular life. Soft set theory is an innovative method for solving practical issues. This is useful in resolving a number of problems, and a lot of progress is being made at the moment. In order to develop hybrid structures, Jun et al. fused the fuzzy and soft sets. In this paper, the notion of hybrid bi-ideals in near-subtraction semigroups is proposed and their associated results are discussed. The notion of hybrid intersections is examined. Furthermore, we establish some results related to the homomorphic preimage of a hybrid bi-ideal in near-subtraction semigroups.

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Fractal based automatic detection of complexity in COVID‐19 X‐ray images

Expert Systems

The coronavirus was discovered in Wuhan, China, in December 2019. Scientists and medical practiti... more The coronavirus was discovered in Wuhan, China, in December 2019. Scientists and medical practitioners have warned that this fatal virus could spread quickly from person to person in its early stages and its impact will be far more vigorous than the previously discovered viruses. The World Health Organization has given warning propaganda to all nations about this harmful virus. However, the diffusion speed of COVID‐19 was so rapid that it spread to all countries much faster than the researchers predicted, causing the widespread human disaster. The genetic variations of COVID‐19 have also astounded researchers today, as it modifies its mutation with very large genetic strains. The virus is regarded as a human version of the disease, resulting in the common cold, dry cough, and respiratory problems in severe cases. According to health organisations, the coronavirus directly affects the lungs, causing main problems such as difficulty breathing. It is also tough for physicians to diagno...

Bipolar Fuzzy Implicative Ideals of BCK-Algebras

Journal of Mathematics, 2021

The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several proper... more The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied. Characterizations of a bipolar fuzzy implicative ideal are given. Conditions for a bipolar fuzzy set to be a bipolar fuzzy implicative ideal are provided. Extension property for a bipolar fuzzy implicative ideal is stated.

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Graphs based on equality algebras

New Mathematics and Natural Computation, 2022

In this paper, we introduce new kinds of graphs based on equality algebras. First of all, by usin... more In this paper, we introduce new kinds of graphs based on equality algebras. First of all, by using the meet operation we define the notion of zero divisors on equality algebra and study related properties. Then we introduce a meet graph on equality algebra by using zero divisors. In addition, we investigate some conditions for a meet graph to be a complete, connected and a star graph. Also, by using the notion of filters in equality algebras, we define an equivalence relation on equality algebras and then by using the equivalence classes we introduce two kinds of graphs on them. Finally, conditions for a graph based on these classes to be connected, or bipartite, or complete, or planar or an outer-planar graph are provided.

Fuzzy (m, n)-filters based on fuzzy points in ordered semigroups

Computational and Applied Mathematics

Hybrid ordered ideals in ordered semirings

Journal of Intelligent & Fuzzy Systems

Fuzzy sets, soft sets, and their generalisations have always been important tools for mathematici... more Fuzzy sets, soft sets, and their generalisations have always been important tools for mathematicians and researchers working with uncertainty. Jun proposed a hybrid structure that combined the concepts of a fuzzy set and a soft set. It should be noted that hybrid structures are a combination of soft set and fuzzy set speculation. Our aim is to explore the concept of hybrid ordered ideals and hybrid interior ideals in ordered semirings, as well as look at some of their related properties, which is one of the important aspects of this paper. In order to investigate the structure theory of hybrid ideals in ordered semirings, we define hybrid composition and hybrid addition. We also establish and characterise the regularity of ordered semirings in terms of hybrid structures.

Relations between regular uni-soft filters and uni-soft MV – filters in residuated lattices

Kyungpook Mathematical Journal (web of science)

The notions of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are in... more The notions of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are discussed. Relations between regular uni-soft filters and uni-soft MV -filters are considered. It is shown that the notion of a uni-soft MV -filter coincides with the notion of a regular uni-soft filter in BL-algebras.

Hesitant fuzzy filters in lattice implication algebras

Journal of Computational Analysis and Applications(USA) (I.F. 0.72), 2017

The notions of hesitant fuzzy translations and hesitant fuzzy extensions of a hesitant fuzzy set ... more The notions of hesitant fuzzy translations and hesitant fuzzy extensions of a hesitant fuzzy set on BCK/BCIalgebras are introduced, and related properties are investigated. We prove that every hesitant fuzzy translation of a hesitant fuzzy subalgebra (ideal) is a hesitant fuzzy subalgebra (ideal). Conditions for a hesitant fuzzy set to be a hesitant fuzzy subalgebra (ideal) are provided. We show that if a hesitant fuzzy set is a hesitant fuzzy subalgebra (ideal), then its support is a subalgebra (ideal), and also prove that if the support of a hesitant fuzzy set is a subalgebra (ideal), then its hesitant fuzzy translation is a hesitant fuzzy subalgebra (ideal).

Classifications of (alpha, beta)-fuzzy ideals in BCK/BCI-algebras

Journal of Mathematical Analysis (web of science), 2016

Classifications of (alpha; beta)-fuzzy ideals of BCK/BCI-algebras are discussed. Relations betwee... more

Hesitant fuzzy semigroups with a frontier

Journal of Intelligent and Fuzzy Systems (I.F. 1.82), 2016

The notion of a hesitant fuzzy semigroup with a frontier is introduced, and several properties ar... more The notion of a hesitant fuzzy semigroup with a frontier is introduced, and several properties are investigated. Characterizations of a hesitant fuzzy semigroup with a frontier are considered, and a condition for a special set to be a subsemigroup is provided. The hesitant union and hesitant intersection of two hesitant fuzzy semigroups with a frontier are dealt with, and the hesitant fuzzy pre-image and hesitant fuzzy image of a hesitant fuzzy semigroup with a frontier under the homomorphism are discussed.

Int-soft hyper-MV-deductive systems in hyper-MV -algebras

Azerbaijan Journal of Mathematics (Europe) (web of science), 2016

The concepts of int-soft hyper-MV -subalgebras, (weak) int-soft hyper-MV –deductive systems and p... more

Regularity of generalized derivations in BCI-algebras

Communications of the Korean Mathematical Society (web of science), 2016

In this paper we study the regularity of inside (or outside) (theta, phi)-derivations in BCI-alge... more In this paper we study the regularity of inside (or outside) (theta, phi)-derivations in BCI-algebras X and prove that let d(theta, phi): X →X be an inside (theta, phi)-derivation of X. If there exists a ∈ X such that …… It is also shown that if X is a BCK-algebra, then every inside (or outside) (theta, phi)-derivation of X is regular. Furthermore …..

Generalizations of derivations in BCI-algebras

Applied Mathematics & Information Sciences (I.F. 1.23), 2015

In the present paper we introduced the notion of (theta, phi)-derivations of a BCI-algebra X. Som... more In the present paper we introduced the notion of (theta, phi)-derivations of a BCI-algebra X. Some interesting results on inside (or outside) (theta, phi)-derivations in BCI-algebras are discussed. It is shown that for any commutative BCI-algebra X, every inside (theta, phi)-derivation of X is isotone. Furthermore it is also proved that for any outside (theta ,phi )-derivation…

Unisoft Filters in R0-algebras

Journal of Computational Analysis and Applications (USA) (I.F. 0.72), 2015

The notion of uni-soft filters in R0-algebras is introduced, and some related properties are inve... more

Double-Framed Soft Hypervector Spaces

The Scientific World Journal (I.F. 1.82), 2014

The notions of double-framed soft subfields, double-framed soft algebras over double-framed soft ... more

On left (theta, phi)-derivations in BCI-algebras

Journal of the Egyptian Mathematical Society (Elsevier) (web of science)

The notion of (regular) left (theta,phi)-derivations of a BCI-algebra is introduced, some useful ... more The notion of (regular) left (theta,phi)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. Conditions for a left (theta,phi)-derivation to be regular are provided. The concepts of a d(theta,phi)-invariant left (theta,phi)-derivation and h-ideal are introduced, and their relations are discussed. Furthermore, some more interesting results are established.

On generalized left derivations in BCI-algebras

Applied Mathematics & Information Sciences (I.F. 1.23), 2014

In the present paper, we introduce the notion of generalized left derivation of a BCI-algebra X, ... more In the present paper, we introduce the notion of generalized left derivation of a BCI-algebra X, construct several examples, and investigate related properties. Also establish some results on regular generalized left derivation. Furthermore, for a generalized left derivation H, the concept of a H-invariant generalized left derivation is introduced, and examples are discussed. Using this concept a condition for a generalized left derivation to be regular is provided. Finally, some results on p-semisimple BCI-algebra are obtained and it is shown that let H be a self-map in a p-semisimple BCI-algebra X. Then H is a generalized left derivation if and only if it is a derivation on X.

Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups

The Scientific World Journal (I.F. 1.82), 2014

The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced... more The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-soft l-ideals and union-soft r-ideals are investigated. Using the notions of union-soft l-ideals and union-soft r-ideals, conditions for an ordered semigroup to be regular are considered. The concepts of concave soft sets and critical soft points are introduced, and their properties are discussed.

G. Muhiuddin

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