Exponential operation and aggregation operator for q‐rung orthopair fuzzy set and their decision‐making method with a new score function

• Published in: International journal of intelligent systems Vol. 33; no. 11; pp. 2255 - 2282
• Main Authors: Peng, Xindong, Dai, Jingguo, Garg, Harish
• Format: Journal Article
• Language: English
• Published: New York John Wiley & Sons, Inc 01.11.2018
• Subjects: Agglomeration; Fuzzy sets; Fuzzy systems; Intelligent systems; Multiple criterion; Real numbers
• ISSN: 0884-8173; 1098-111X
• DOI: 10.1002/int.22028

q‐Rung orthopair fuzzy set (q‐ROFS) is a powerful tool that attracts the attention of many scholars in dealing with uncertainty and vagueness. The aim of paper is to present a new score function of q‐rung orthopair fuzzy number (q‐ROFN) for solving the failure problems when comparing two q‐ROFNs. Then a new exponential operational law about q‐ROFNs is defined, in which the bases are positive real numbers and the exponents are q‐ROFNs. Meanwhile, some properties of the operational law are investigated. Later, we apply them to derive the q‐rung orthopair fuzzy weighted exponential aggregation operator. Additionally, an approach for multicriteria decision‐making problems under the q‐rung orthopair fuzzy data is explored by applying proposed aggregation operator. Finally, an example is investigated to illustrate the feasibility and validity of the proposed approach. The salient features of the proposed method, compared to the existing q‐rung orthopair fuzzy decision‐making methods, are (1) it can obtain the optimal alternative without counterintuitive phenomena; (2) it has a great power in distinguishing the optimal alternative.