Double hierarchy linguistic preference information: consistency, consensus and large-scale group decision making
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Universidad de Granada
DepartamentoUniversidad de Granada. Programa de Doctorado en Tecnologías de la Información y la Comunicación
Gou, Xunjie. Double hierarchy linguistic preference information: consistency, consensus and large-scale group decision making. Granada: Universidad de Granada, 2020. [http://hdl.handle.net/10481/62218]
SponsorshipTesis Univ. Granada.; FInancial support from China Scholarship Council
In this thesis, we focus on the discussions about three main aspects. Firstly, we mainly analyze the basic concepts of DHLTS and DHHFLTS, propose some equivalent transformation functions, and then develop some operations and properties of DHHFLTSs. In addition, considering that the distance and similarity measures are fundamentally important in amounts of research fields, we define the axioms of distance and similarity measures between two DHHFLTSs, and then introduce a series of distance and similarity measures between two DHHFLTSs. Secondly, considering that more and more experts prefer to give their preferences by making pairwise comparisons between any two alternatives, meanwhile this kind of preference reflects the relationships between different alternatives intuitively. Therefore, preference relation becomes one of the popular and effective tools. Based on the DHHFLTS and preference form, we give a concept of double hierarchy hesitant fuzzy linguistic preference relation (DHHFLPR). Then, to avoid the occurrence of some self-contradictory situations, it is very important to carry out the consistency checking and improving process for each DHHFLPR in GDM process. Therefore, we discuss some additive consistency measures for DHHFLPRs. For the purpose of judging whether a DHHFLPR is of acceptable consistency or not, we define a consistency index of DHHFLPR and develop a novel method to improve the existing methods for calculating the consistency thresholds. Then we present two convergent consistency repairing algorithms based on automatic improving method and feedback improving method respectively to improve the consistency index of a given DHHFLPR with unacceptable consistency. Finally, with the progress of science and technology and the development of network environment, the communications between people are increasingly convenient. Large-scale group decision making (LSGDM) has become the focuses of decision-making problems. Generally, a GDM problem can be called LSGDM problem when the number of experts is more than 20 [LC06]. This thesis mainly studies LSGDM from two aspects. 1) We discuss the clustering method and the consensus reaching process in LSGDM with double hierarchy hesitant fuzzy linguistic preference information. We also propose the similarity degree-based clustering method, the double hierarchy information entropy-based weights-determining method and the consensus measures. 2) In LSGDM, sometimes some experts do not modify their preferences or even do it on the contrary way to the remaining experts, and some different opinions or minority preferences are often cited as obstacles to decision making [PMH14, XDC15]. Therefore, this thesis gives a concept of double hierarchy linguistic preference relation (DHLPR) and develops a consensus model to manage minority opinions and non-cooperative behaviors in LSGDM with DHLPRs. Additionally, to establish the consensus model, some basic tools such as the distance-based cluster method, the weight-determining method, and the comprehensive adjustment coefficient-determining method are developed. In addition to the discussions of the core knowledge of DHLTS, DHHFLTS, DHLPR and DHHFLPR, this thesis discusses some different decision making models under different decision making contexts. We mainly discuss three different decision making contexts, i.e., multiple criteria decision making (MCDM), GDM, and LSCDM.