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A Geometric-Based LSGDM Method for Tourism Project Decision Optimization with Trust-Distrust Relationships.

Lei Zhou1, Xinshang You1, Shuo Zhao1

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Entropy (Basel, Switzerland)
|May 28, 2022
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Summary

This study introduces a novel large-scale group decision-making (LSGDM) algorithm for optimizing tourism projects. The model incorporates trust-distrust relationships and interval-valued intuitionistic fuzzy numbers for improved decision analysis.

Keywords:
interval-valued intuitionistic fuzzy numberlarge-scale group decision-makingtourism project decision optimizationtrust–distrust relationship

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Area of Science:

  • Decision Science
  • Tourism Management
  • Operations Research

Background:

  • Optimizing tourism project decisions is complex, especially with multiple stakeholders.
  • Existing models often lack mechanisms to account for interpersonal dynamics like trust and distrust.
  • Large-scale group decision-making (LSGDM) requires robust algorithms for effective analysis.

Purpose of the Study:

  • To develop an advanced LSGDM algorithm for enhanced decision optimization in tourism projects.
  • To integrate trust-distrust asymmetric relationships into the decision-making process.
  • To improve the accuracy and effectiveness of evaluating tourism project alternatives.

Main Methods:

  • A novel LSGDM algorithm incorporating trust-distrust relationships among decision makers.
  • Construction of a weighted directed network and data integration operator based on decision maker evaluations.
  • Application of an extended Girvan-Newman (GN) algorithm for decision maker clustering.
  • Utilization of interval-valued intuitionistic fuzzy numbers (IVIFN) for alternative evaluation.

Main Results:

  • The proposed LSGDM model effectively integrates trust-distrust dynamics into decision optimization.
  • Clustering decision makers using the extended GN algorithm reveals network structures.
  • The IVIFN evaluation method provides a geometrically interpretable approach to assessing alternatives.
  • Demonstrated effectiveness using a cultural tourism project case study in Hebei Province.

Conclusions:

  • The novel LSGDM model significantly improves decision optimization for tourism projects.
  • Incorporating trust-distrust relationships enhances the reliability of group decision-making outcomes.
  • The method offers a valuable tool for complex project evaluation and stakeholder management in the tourism sector.