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17-08-2021 | Original Paper

Decision-making with q-rung orthopair fuzzy graph structures

Authors: Muhammad Akram, Muzzamal Sitara

Published in: Granular Computing | Issue 3/2022

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Abstract

The q-rung orthopair fuzzy sets being an extension of intuitionistic and Pythagorean fuzzy sets is very flexible model to express uncertain information that concerns only two attributes yes or no. In this research article, we combine the concept of graph structures with q-rung orthopair fuzzy sets, and introduce the notion of q-rung orthopair fuzzy graph structures (q-ROFGSs) that provides a broader space for membership and non-membership values. First, we define normal product of q-ROFGSs and investigate its \(\rho _{i}\)-regularity with several properties. Further, we discuss \(\rho '_{i}-m\)-partite q-ROFGSs with different conditions to be a \(\rho '_{i}-m\)-regular q-ROFGS. In addition, we present an application of m-partite q-ROFGSs in decision-making, regarding selection of best employees for sale of company products to wholesale buyers, retail buyers and online consumers.

previous article Weighted average LINMAP group decision-making method based on q-rung orthopair triangular fuzzy numbers

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Title: Decision-making with q-rung orthopair fuzzy graph structures
Authors: Muhammad Akram
Muzzamal Sitara
Publication date: 17-08-2021
Publisher: Springer International Publishing
Published in: Granular Computing / Issue 3/2022
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-021-00281-3

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