Fuzzy computational analysis of the backbone DNA network using fuzzy topological indices
Muhammad Asad Alialiasad5340@gmail.comDepartment of MathematicsSchool of MathematicsMinhaj UniversityLahore, 54000, Pakistan0000-0002-9555-7885View full profile → , Mankagna Albert Diompyalbertdiompy@yahoo.frDepartment of Mathematics and Computer ScienceFaculty of Science and TechnologyCheikh Anta Diop UniversityDakar, 5005, Senegal0009-0005-3734-1946View full profile → , Shobha Veerangouda Patilshobhap49@gmail.comDepartment of MathematicsKLE Dr. M. S. Sheshgiri College of Engineering and TechnologyBelagavi, Karnataka, 590001, India0000-0002-6210-832XView full profile → , Muhammad Shoaib Sardarshoaibsardar093@gmail.comDepartment of MathematicsSchool of Mathematical SciencesHarbin Engineering UniversityHarbin, 150001, China0000-0001-7146-5639View full profile → , Muhammad Idreesidreesmp@ue.edu.pkDepartment of MathematicsUniversity of EducationLahore, 54000, Pakistan0000-0002-9250-1317View full profile → , Mohammad Reza Farahanimohammad_farahani@mathdep.iust.ac.irSchool of Mathematics and Computer ScienceIran University of Science & Technology (IUST)Narmak, Tehran, 16844, Iran0000-0003-2969-4280View full profile → , *Mehdi AlaeiyanCorresponding authoralaeiyan@iust.ac.irSchool of Mathematics and Computer ScienceIran University of Science and Technology (IUST)Narmak, Tehran, 16844, Iran0000-0003-2185-5967View full profile → , Javad Vahidijvahidi@iust.ac.irSchool of Mathematics and Computer ScienceIran University of Science & Technology (IUST)Narmak, 16844, Tehran, Iran0000-0001-9985-170XView full profile → , Saeid Jafarijafaripersia@gmail.comDepartment of MathematicsCollege of Vestsjaelland SouthHerrestarede 11, Slagelse, 4200, Denmark0000-0001-5744-7354View full profile → , Murat Cancanmcancan@yyu.edu.trDepartment of MathematicsFaculty of EducationYuzuncu Yil UniversityVan, 65090, Turkey0000-0002-8606-2274View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Jun 2025
- Published Online:
- 04 Sep 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2457
- Pages:
- 1–12
Abstract
Fuzzy topological indices have a significant impact and are gaining attention due to their multiple applications in various scientific domains and daily life fields. These indices have also been thoroughly investigated in fuzzy contexts or fuzzy graphs. A topological index is a single numerical parameter associated with the structure of graphs or networks that contains information to characterize the network’s attributes as well as mathematical modelling. These indices have practical applications in a wide range of fields, including ecology, social networks, multi-criteria decision-making systems and neural networks. Due to these several applications topological indices are needed to define fuzzy graphs or networks. By modeling DNA molecular structure as a fuzzy graph where vertices represent atoms and edges are bonds with probabilistic membership values, we establish quantitative descriptors that capture the inherent uncertainties in bio-molecular interactions. We introduced the notation of several fuzzy topological indices, such as the first and second fuzzy Zagreb indices, the harmonic fuzzy Zagreb index and the randic fuzzy Zagreb index of the fuzzy backbone DNA network, in this work.
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References
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