Article: Consensus analysis and extended prospect theory-based intuitionistic triangular fuzzy multi-criteria group decision-making method Journal: International Journal of Intelligent Information and Database Systems (IJIIDS) 2026 Vol.18 No.5 pp.1 - 35 Abstract: This paper aims to provide a method for solving multi-criteria group decision making problems with the evaluation information in the type of intuitionistic triangular fuzzy numbers (ITFNs). To this end, a new score function of ITFNs is proposed. In order to depict the similarity between two intuitionistic triangular fuzzy sets (ITFSs), the cosine similarity measure of ITFSs is defined. Based on the similarity measure, the consensus measures on three levels are defined, and a programming model-based approach is introduced to deal with situations where the group consensus level dose not reach the given threshold. By transforming the reference points of classical prospect theory (PT) into reference intervals, a method combining extended PT and PROMETHEE is presented to obtain the ranking results of alternatives. Then, an intuitionistic triangular fuzzy multi-criteria GDM (ITFMCGDM) method is developed. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method. Inderscience Publishers - linking academia, business and industry through research

Title: Consensus analysis and extended prospect theory-based intuitionistic triangular fuzzy multi-criteria group decision-making method

Authors: Shaolin Zhang; Lingli Lian; Ningning Sun; Ziqiang Lou; Xiaodong Yan; Rongyun Fu

Addresses: School of Business and Commerce, Qingdao Preschool Education College, Qingdao, 266318, China ' School of Business and Commerce, Qingdao Preschool Education College, Qingdao, 266318, China ' School of Business and Commerce, Qingdao Preschool Education College, Qingdao, 266318, China ' School of Business and Commerce, Qingdao Preschool Education College, Qingdao, 266318, China ' School of Business and Commerce, Qingdao Preschool Education College, Qingdao, 266318, China ' Faculty of Education, Shandong Normal University, Jinan, 250014, China

Abstract: This paper aims to provide a method for solving multi-criteria group decision making problems with the evaluation information in the type of intuitionistic triangular fuzzy numbers (ITFNs). To this end, a new score function of ITFNs is proposed. In order to depict the similarity between two intuitionistic triangular fuzzy sets (ITFSs), the cosine similarity measure of ITFSs is defined. Based on the similarity measure, the consensus measures on three levels are defined, and a programming model-based approach is introduced to deal with situations where the group consensus level dose not reach the given threshold. By transforming the reference points of classical prospect theory (PT) into reference intervals, a method combining extended PT and PROMETHEE is presented to obtain the ranking results of alternatives. Then, an intuitionistic triangular fuzzy multi-criteria GDM (ITFMCGDM) method is developed. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.

Keywords: multi-criteria group decision making; consensus; extended prospect theory; intuitionistic triangular fuzzy number; similarity measure.

DOI: 10.1504/IJIIDS.2026.151500

International Journal of Intelligent Information and Database Systems, 2026 Vol.18 No.5, pp.1 - 35

Received: 03 Aug 2024
Accepted: 25 Aug 2025
Published online: 03 Feb 2026 *

Title: Consensus analysis and extended prospect theory-based intuitionistic triangular fuzzy multi-criteria group decision-making method

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