# Multicriteria Decision Making in Tourism Industry Based on Visualization of Aggregation Operators
###### Abstract  
The modern tourist industry is characterized by an abundance of applied multicriteria decision-making tasks. Several researchers have demonstrated that such tasks can be effectively resolved using aggregation operators based on fuzzy integrals and fuzzy measures. At the same time, the implementation of this mathematical tool is limited by weak intuitive understanding by the practicing specialists of the aggregation process as well as fuzzy measures in general. Some researchers have proposed different aggregation visualization methods, but these methods have several properties that block their wide implementation in decision-making practice. The purpose of this study is to develop a decision-making approach that will allow practitioners to have a clear intuitive vision of the aggregation process and fuzzy measures. This article proposes an approach to decision making in the tourist industry based on the synthesis of the aggregation operator that includes 3D visualization graphics in virtual reality. Firstly, some research devoted to decision-making methods in tourism was assessed along with \"smart\" tourism, aggregation operators and their visualization. Secondly, a 3D visualization in the form of a balance model was introduced. Thirdly, the method of aggregation-operator synthesis based on the 3D balance model and the 2-order Choquet integral was developed. Finally, an illustrational example of implementing such an approach for resolving the task of assessing and choosing a hotel was described. the unmanned ground vehicle [4]. For such segmentation of tourists' preferences, \"fine\" decision-making methods can be applied. Decision-making methods in the tourist industry rely on several theoretical approaches. One of these approaches is the use of aggregation operators [1]. In particular, the research in [5] describes the implementation of a multiattribute utility theory along with the Choquet integral for travel planning. Recently, the authors of [6] proposed new aggregation operators based on Pythagorean cubic fuzzy sets for decision making. The authors of paper [7] describe the use of extended families of OWA operators for efficient sentiment analysis of the text reviews of tourists. The Choquet integral has a high degree of expressiveness as it allows the different interactions of the criteria to be represented. At the same time, there are practical difficulties in working with it [8]. This is why, in certain cases, in order to make a decision, a simplified approach based on a weighted average as an aggregation operator is implemented. Such a situation is explained by the cognitive difficulties of the decision maker during an aggregation-operator synthesis for multiple criteria. At the same time, the task of aggregation-operator synthesis with predefined parameters is solved with different visualization methods [9; 10; 11] but because of cognitive difficulties, these methods have not become widely available. The present paper suggests an approach to multicriteria decision making that is based on the aggregation-operator synthesis including 3D visualizations of cognitive graphics. The process of aggregation-operator synthesis consists of two procedures. These procedures represent sets of actions carried out by the decision maker where at every step an action is required. An example of this approach is illustrated by the hotel choice decision-making task in a \"smart city\" from several alternatives. The advantages of the proposed approach are as follows. First, it brings practical improvements in the formalization of expert preferences through the implementation of a virtual object that reflects the aggregation operator. Secondly, this approach can be applied with standard virtual reality software and hardware for the synthesis and verification of aggregation operators for decision making. The paper is further organized as follows: Section 2 deals with other research dedicated to decision-making methods and tourist recommendation systems together with aggregation operator visualization.