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

• Published in: Entropy (Basel, Switzerland) Vol. 24; no. 5; p. 588
• Main Authors: Zhou, Lei, You, Xinshang, Zhao, Shuo, You, Zengtai
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 22.04.2022; MDPI
• Subjects: Algorithms; Cartesian coordinates; Citizen participation; Civilization; Cooperation; Data integration; Decision analysis; Decision making; Environmental impact; Environmental protection; Fuzzy systems; Information dissemination; interval-valued intuitionistic fuzzy number; large-scale group decision-making; Nuclear power plants; Optimization; Public opinion; Social networks; Stock exchanges; Sustainable development; Tourism; tourism project decision optimization; Trends; trust–distrust relationship; Beijing China; China; Ukraine; Russia; Hebei China; tourism project decision optimization; interval-valued intuitionistic fuzzy number; large-scale group decision-making; trust–distrust relationship
• ISSN: 1099-4300; 1099-4300
• DOI: 10.3390/e24050588

In this paper, we discuss the decision optimization of tourism projects in Hebei Province, China. To improve the process of analyzing tourism projects, we introduce a model that includes multiple decision makers as subjects based on a standard four-dimensional evaluation system. In order to improve the effectiveness of decision-making results, we will increase the number of decision makers to 40. A novel large-scale group decision-making (LSGDM) algorithm that incorporates the trust–distrust asymmetric relationships between decision makers is proposed. This model contains three main innovations: firstly, in the evaluation of decision makers’ social network relations, the trust–distrust value is introduced as a new carrier, and a weighted directed network and data integration operator are constructed based on the evaluation between decision makers; secondly, an extended Girvan-Newman (GN) algorithm is constructed to cluster the decision makers from this weighted network; thirdly, the interval-valued intuitionistic fuzzy number (IVIFN) is used to evaluate the alternatives, studying the IVIFN’s geometric significance by placing in a rectangular coordinate system. Finally, a new LSGDM model is proposed. Using the development of a cultural tourism project in a township as an example, the effectiveness of the proposed model is illustrated. By comparing the results of our method to those of a LSGDM algorithm that does not incorporate trust relationships, we assess the performance of the new model.