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journal article·2024-05-01Open access

The application of cosine similarity measures with Laplacian energy to q-rung orthopair fuzzy graphs in decision-making problems

Mohamed Atheeque A., Sharief Basha S., Nune Pratyusha, C. Raghavendra Reddy, Md Nur Alam, Hijaz Ahmad, Nainaru Tarakaramu, Sreenivasulu K.

AIP Advances· Volume 14· Issue 5
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Abstract

Q-rung orthopair fuzzy sets (q-ROFS), which are better than the intuitionistic and Pythagorean fuzzy sets, are a significant tool for expressing ambiguous information. Their key feature is that their ability to represent a larger space of uncertain information is based on the fact that the product of the qth power of the membership degree and the qth power of the degrees of non-membership is equal to or less than 1. Under these circumstances, we train group decision-making problems in the study using q-rung orthopair fuzzy inclination associations. Through the calculation of the standard deviation of one separable q-rung orthopair inclination association to the others and the unclear evidence of q-rung orthopair fuzzy inclination connections, we propose a novel approach to estimate the qualified reputation weights of authority. The “internal” and “impartial” evidence of authority is taken into consideration by this new mindset. Subsequently, we included the weights of authorities into the q-rung orthopair fuzzy inclination relations and used a relative similarity approach to determine the relevance of replacements and the best substitutes. The planned techniques' usefulness and realism are demonstrated by the contrast analysis with additional methods through mathematical demonstrations, both of which show the fuzzy set’s membership degree and non-membership degree, respectively.
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Research context

OpenAlex topics: Multi-Criteria Decision Making · Fuzzy Systems and Optimization · Rough Sets and Fuzzy Logic

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology 1 , Vellore, Tamil Nadu 632014, India

Department of Mathematics, Humanities and Sciences, MLR Institute of Technology 2 , Dundigal Police Sation Road, Hyderabad 500043, Telangana, India

Department of English, School of Liberal Arts and Sciences, Mohan Babu University (Erstwhile Sree Vidyanikethan Engineering College) 3 , Sree Sainath Nagar, Tirupati 517102, A.P, India

Department of Mathematics, Pabna University of Science and Technology 4 , Pabna 6600, Bangladesh

5 Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey

6 Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia

7 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

8 Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology,Mishref, Kuwait

9 Department of Mathematics, School of Liberal Arts and Sciences, Mohan Babu University, Sree Sainath Nagar, Tirupati 517102, A.P, India

10 Department of Mathematics, Basic Science and Humanities, Sree Vidyanikethan Engineering College, Sree Sainath Nagar, Tirupati 517102, A.P, India

11 G. Pullaiah College of Engineering and Technology, Kurnool, Andhra Pradesh, India

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