Regret Theory-Driven Method for Addressing Multi-Attribute Decision-Making under Probabilistic Double Hierarchy Linguistic Term Set and Application to Information System Investment Project Selection
Authors:
- Fan LeiFLFan Lei
- Haiwen XuHXHaiwen Xu
- Yaxing HeYHYaxing He
- Guiwu WeiGWGuiwu Wei
- Cun WeiCWCun Wei
Open Access
- 1 January 2026
- journal article
- Published by Vilnius University Press in Informatica
- p. 1-24
Abstract
Taking into account the irrational elements and regret aversion of decision makers (DMs) during the decision-making process, regret theory (RT) and the TODIM methods have been integrated into a decision-making framework to develop an enhanced multi-attribute decision-making (MADM) method (PDHL-RT-TODIM) within probabilistic double hierarchy linguistic (PDHL) environment. Specifically, extending the perceived utility function in RT to determine the regret and joy values of the overall advantage flow of alternatives calculated by TODIM method in PDHL environment. Then, a correlation coefficient (CC) and standard deviation (SD) integral (CCSD) method was created using the probabilistic double hierarchy linguistic set (PDHLTS) distance metric and PDHL weight arithmetic operator to establish the objective weights of attributes. Additionally, the effectiveness of this proposed method was illustrated through numerical examples for information system investment project selection, and its stability, efficiency, and benefits were further confirmed through sensitivity analysis and comparisons with existing methods.Keywords
This publication has 52 references indexed in Scilit:
- Risk assessment based on failure mode and effects analysis (FMEA) and WASPAS methods under probabilistic double hierarchy linguistic term setsComputers & Industrial Engineering, 2023
- Regret-based domination and prospect-based scoring in three-way decision making using q-rung orthopair fuzzy Mahalanobis distanceArtificial Intelligence Review, 2023
- Novel Gained and Lost Dominance Score Method Based on Cumulative Prospect Theory for Group Decision-Making Problems in Probabilistic Hesitant Fuzzy EnvironmentInternational Journal of Fuzzy Systems, 2023
- Model‐based evaluation for online shopping platform with probabilistic double hierarchy linguistic CODAS methodInternational Journal of Intelligent Systems, 2021
- A decision framework of low-speed wind farm projects in hilly areas based on DEMATEL-entropy-TODIM method from the sustainability perspective: A case in ChinaEnergy, 2020
- A two-sided matching method considering the lowest value of acceptability with regret theory for probabilistic linguistic term setsInternational Journal of Machine Learning and Cybernetics, 2020
- Extended TODIM method for CCUS storage site selection under probabilistic hesitant fuzzy environmentApplied Soft Computing, 2020
- Interval-Valued Hesitant Fuzzy Stochastic Decision-Making Method Based on Regret TheoryInternational Journal of Fuzzy Systems, 2020
- Interval-valued intuitionistic fuzzy TODIM method based on Schweizer–Sklar power aggregation operators and their applications to group decision makingSoft Computing, 2020
- The SMAA-TODIM approach: Modeling of preferences and a robustness analysis frameworkComputers & Industrial Engineering, 2017