Faisal Yousafzai
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Faisal Yousafzai has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Kostaq Hila
Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana, Albania
2 shared publications Arshad Ali
Military College of Engineering, National University of Sciences and Technology (NUST), Islamabad, Pakistan
1 shared publication- Hao Guan
Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
1 shared publication Mohammed M. Khalaf
Majmaah University
1 shared publication- Muhammad Danish Zia
Department of Basic Sciences, School of Civil Engineering, National University of Sciences and Technology (NUST), Islamabad, Pakistan
1 shared publication - Muhammad Irfan
School of Civil and Environmental Engineering (SCEE), National University of Sciences & Technology (NUST), Islamabad 44000, Pakistan
1 shared publication
Latest Publications
- Open Access
Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
Intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and q-rung orthopair fuzzy sets (q-ROFS) are among those concepts which are widely used in real-world applications. However, these theories have their own limitations in terms of membership and non-membership functions, as they cannot be obtained from the whole unit plane. To overcome these restrictions, we developed the concept of a complex linear Diophantine fuzzy set (CLDFS) by generalizing the notion of a linear Diophantine fuzzy set (LDFS). This concept can be applied to real-world decision-making problems involving complex uncertain information. The main motivation behind this paper is to study the applications of CLDFS in a non-associative algebraic structure (AG-groupoid), which has received less attention as compared to associative structures. We characterize a strongly regular AG-groupoid in terms of newly developed CLDF-score left (right) ideals and CLDF-score -ideals. Finally, we construct a novel approach to decision-making problems based on the proposed CLDF-score ideals, and some practical examples from civil engineering are considered to demonstrate the flexibility and clarity of the initiated CLDF-score ideals.Open AccessComplex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
Intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and q-rung orthopair fuzzy sets (q-ROFS) are among those concepts which are widely used in real-world applications. However, these theories have their own limitations in terms of membership and non-membership functions, as they cannot be obtained from the whole unit plane. To overcome these restrictions, we developed the concept of a complex linear Diophantine fuzzy set (CLDFS) by generalizing the notion of a linear Diophantine fuzzy set (LDFS). This concept can be applied to real-world decision-making problems involving complex uncertain information. The main motivation behind this paper is to study the applications of CLDFS in a non-associative algebraic structure (AG-groupoid), which has received less attention as compared to associative structures. We characterize a strongly regular AG-groupoid in terms of newly developed CLDF-score left (right) ideals and CLDF-score -ideals. Finally, we construct a novel approach to decision-making problems based on the proposed CLDF-score ideals, and some practical examples from civil engineering are considered to demonstrate the flexibility and clarity of the initiated CLDF-score ideals. - Open Access
- 1 January 2022
- Published by Sociedade Paranaense de Matemática in Boletim da Sociedade Paranaense de Matemática
- Vol. 40, 1-13
On smallest (generalized) ideals and semilattices of (2,2)-regular non-associative ordered semigroups
An ordered AG-groupoid can be referred to as a non-associativeordered semigroup, as the main di¤erence between an ordered semigroup and anordered AG-groupoid is the switching of an associative law. In this paper, wede…ne the smallest left (right) ideals in an ordered AG-groupoid and use them tocharacterize a (2; 2)-regular class of a unitary ordered AG-groupoid along with itssemilattices and (2 ;2 _q)-fuzzy left (right) ideals. We also give the conceptof an ordered A*G**-groupoid and investigate its structural properties by usingthe generated ideals and (2 ;2 _q)-fuzzy left (right) ideals. These concepts willverify the existing characterizations and will help in achieving more generalizedresults in future works.
- 1 January 2022
- Published by Sociedade Paranaense de Matemática in Boletim da Sociedade Paranaense de Matemática
- Vol. 40, 1-13
Open AccessOn smallest (generalized) ideals and semilattices of (2,2)-regular non-associative ordered semigroups
An ordered AG-groupoid can be referred to as a non-associativeordered semigroup, as the main di¤erence between an ordered semigroup and anordered AG-groupoid is the switching of an associative law. In this paper, wede…ne the smallest left (right) ideals in an ordered AG-groupoid and use them tocharacterize a (2; 2)-regular class of a unitary ordered AG-groupoid along with itssemilattices and (2 ;2 _q)-fuzzy left (right) ideals. We also give the conceptof an ordered A*G**-groupoid and investigate its structural properties by usingthe generated ideals and (2 ;2 _q)-fuzzy left (right) ideals. These concepts willverify the existing characterizations and will help in achieving more generalizedresults in future works.
- 25 September 2018
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 35 (4) , 4837-4847
Non-associative semigroups in terms of semilattices via soft ideals
An AG -groupoid can be referred to as a non-associative semigroup, as the main difference between a semigroup and an AG -groupoid is the switching of an associative law. In this paper, we define the smallest one-sided ideals in an AG -groupoid and use them to characterize a strongly regular class of a unitary AG -groupoid along with its semilattices and SI - l -ideals ( SI - r -ideals) and SI -bi-ideals. As an application, we get some interesting and new characterizations which we usually do not find in semigroups. Finally we give the concept of an AG * * * -groupoid and give an example to show that this class is the generalization of a unitary AG -groupoid.
- 25 September 2018
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 35 (4) , 4837-4847
Non-associative semigroups in terms of semilattices via soft ideals
An AG -groupoid can be referred to as a non-associative semigroup, as the main difference between a semigroup and an AG -groupoid is the switching of an associative law. In this paper, we define the smallest one-sided ideals in an AG -groupoid and use them to characterize a strongly regular class of a unitary AG -groupoid along with its semilattices and SI - l -ideals ( SI - r -ideals) and SI -bi-ideals. As an application, we get some interesting and new characterizations which we usually do not find in semigroups. Finally we give the concept of an AG * * * -groupoid and give an example to show that this class is the generalization of a unitary AG -groupoid.