Conflict Elimination Mechanism in Group Decision-Making Guided by Quantum-Integrated Personalized Risk Attitudes

Ordered weighted utility distance operators and their applications in group decision-making

As to product design itself has quite complexity and many domain influence factors are integrated in concurrent design (CD), conflict phenomena exists in any process of carrying out CD. Conflict elimination is an important key to carrying out CD effectively. Conflict usually relates to many members in multifunction group of CD. Negotiation that is a process of multiple iteration and repeated alternation is utilized in CD conflict elimination. Many objects and constraints are considered in the process of negotiation and it is very hard to have no problem in the process of calculation, reasoning, evaluation and decisionmaking. As to the updating error is a tracing process and a lot of work done before is needed to repeat, efficiency of conflict elimination is very low. In this paper, a method of conflict elimination of product CD based on blackboard model is put forward. Design conflict producing, system and mechanism of conflict elimination based on blackboard model are analyzed and described. It takes gear CD conflict elimination as an example to illustrate the concrete application of the method and system.

A novel two-phase group decision making approach for construction project selection in a fuzzy environment

Locations appraisal framework for floating photovoltaic power plants based on relative-entropy measure and improved hesitant fuzzy linguistic DEMATEL-PROMETHEE method

An Atanassov intuitionistic fuzzy programming method for group decision making with interval-valued Atanassov intuitionistic fuzzy preference relations

A group decision making method with interval valued fuzzy preference relations based on the geometric consistency

The paper develops a new intuitionistic fuzzy (IF) programming method to solve group decision making (GDM) problems with interval-valued fuzzy preference relations (IVFPRs). An IF programming problem is formulated to derive the priority weights of alternatives in the context of additive consistent IVFPR. In this problem, the additive consistent conditions are viewed as the IF constraints. Considering decision makers' (DMs') risk attitudes, three approaches, including the optimistic, pessimistic and neutral approaches, are proposed to solve the constructed IF programming problem. Subsequently, a new consensus index is defined to measure the similarity between DMs according to their individual IVFPRs. Thereby, DMs' weights are objectively determined using the consensus index. Combining DMs' weights with the IF program, a corresponding IF programming method is proposed for GDM with IVFPRs. An example of E-Commerce platform selection is analyzed to illustrate the feasibility and effectiveness of the proposed method. Finally, the IF programming method is further extended to the multiplicative consistent IVFPR.

This paper develops a new method for solving group decision making (GDM) problems with interval-valued intuitionistic fuzzy preference relations (IVIFPRs). First, an additive consistency of an IVIFPR is defined by the additive consistency of intuitionistic fuzzy preference relation (IFPR). Based on the additive consistency definition of IVIFPR, two linear programming models are established to extract the most optimistic and pessimistic consistent IFPRs from an IVIFPR, respectively. Especially, if the feasible regions of these two models are empty, two adjusted programming models are constructed. Afterwards, a risk attitudinal-based consistent IFPR is determined considering decision maker's (DM's) risk attitude. To derive the intuitionistic fuzzy priority weights from the risk attitudinal-based consistent IFPR, a multiobjective programming model is established and transformed into a linear goal program to resolve. Subsequently, combining DMs’ subjective and objective importance degrees, the comprehensive importance degrees of DMs are generated. Using comprehensive importance degrees as order inducing variables, a new comprehensive importance interval-valued intuitionistic fuzzy induced ordered weighted averaging (CI-IVIF-IOWA) operator is defined to aggregate the individual IVIFPRs into a collective one. Thereby, a three-phase method is proposed for GDM with IVIFPRs. An example of network system selection is examined to illustrate the practicability and effectiveness of the proposed method.

This paper investigates the group decision making (GDM) with interval-valued intuitionistic fuzzy (IVIF) preference relations (IVIFPRs). Considering decision maker’s (DM’s) risk attitude, the new score and accuracy functions for an IVIF value (IVIFV) are defined and a new order relation is proposed to rank IVIFVs. By transforming an IVIFPR into the direct and indirect IFPRs, a new additive consistency of IVIFPR is defined considering the uncertainty and ambiguity. Combining the direct IFPRs and the indirect IFPRs extracted from the IVIFPR, an algorithm is designed to determine the comprehensive IVIF priority weights of IVIFPR. For GDM with IVIFPRs, a multi-objective programming model is constructed to derive DMs’ weights by combining TOPSIS and cross entropy, which is solved by Lagrange function method. Based on the determination of DMs’ weights, the determination of priority weights and the new order relation of IVIFVs, a comprehensive method is proposed for GDM with IVIFPRs. Finally, a ventilation system selection example is analyzed to verify the effectiveness of the proposed method.

To quantify the influence of decision makers’ psychological factors on the group decision process, this paper develops a new class of aggregation operators based on reference-dependent utility functions (RUs) in multi-attribute group decision analysis. RUs include S-shaped RU and non-S-shaped RU. Each RU affords a framework where the psychological factors explicitly enter the decision problem via the basic utility function, reference point and loss aversion coefficient. Under the general framework, we derive a generalized ordered weighted S-shaped RU proportional averaging (GOSP) operator and a generalized ordered weighted non-S-shaped RU proportional averaging (GONSP) operator, respectively. The GOSP operator implies the risk attitude of the DM for relative losses is risk-seeking, while GONSP operator indicates the risk attitude in this case is risk-averse. As a special case, GONSP operator can degenerate into GOWPA operator which means that the attitude of the DM is risk-neutral. Each operator satisfies the desirable properties of general operator, i.e., monotonicity, commutativity, idempotency and boundedness. Furthermore, we consider hyperbolic absolute risk aversion (HARA) function as the basic utility function, and define an S-shaped HARA and a non-S-shaped HARA utility functions. Based on the two new RUs, we propose GOSP–HARA operator and GONSP–HARA operator. Every operator covers many existing aggregation operators. To ascertain weights of such operators, the paper builds an attribute-deviation weight model and a DMs-deviation weight model. Based on these RU operators and weight models, an approach is addressed for solving multiple attribute group decision-making problem. At last, an example is provided to show the feasible of our approach.

One-switch utility function is used to describe how the risk attitude of a decision maker changes with his wealth level. In this paper additive decision rule is used for the aggregation of decision member’s utility which is represented by one-switch utility function. Based on Markov decision processes (MDP) and group utility, a dynamic, multi-stages and risk sensitive group decision model is proposed. The proposed model augments the state of MDP with wealth level, so the policy of the model is defined as an action executed in a state and a wealth level interval. A backward-induction algorithm is given to solve the optimal policy for the model. Numerical examples show that personal risk attitude has a great influence on group decision-making when personal risk attitudes of members are different, while the weights of members play a critical role when personal risk attitudes of members are similar.

Coopetition in Group Contest

In this paper, we propose a consistency and consensus-based method to solve the group decision-making (GDM) problems within the framework of interval-valued intuitionistic multiplicative preference relations (IVIMPRs). First, we introduce a similarity measure that expresses the similarity between two decision makers (DMs). Then, a similarity-based consensus index is offered to evaluate closeness between individuals' judgments. Based on the consensus index, the concept of acceptable consensus for IVIMPRs is presented. In the sequel, a consistency and consensus improvement model that aims at retaining original opinions of the DMs is introduced to make consistency and consensus of IVIMPRs acceptable. Moreover, the DMs' comprehensive weights are obtained by combining their subjective weights and objective weights. Afterward, to derive priority weights of alternatives, a programming model is established and solved by three approaches considering DMs' different risk attitudes. Finally, a GDM method with IVIMPRs is offered, and its application to select the partners is offered.

Contents: Preface Foreword Part One Understanding and Managing Risk Attitude - The State of Current Knowledge: Understanding risk attitude What is a good decision? Managing risk attitude. Part Two Group Risk Attitude in Action - From Theory to Practice: Drivers of group risk attitude Exploring influences in group risk attitude Implications for managing group risk attitude. Part Three Effective Group Decision-Making Through Managed Risk Attitude: Practical steps for managing group risk attitude The journey continues - charting the way ahead. Appendices Index.

The aim of this paper is to develop a new compatibility, which is very suitable to deal with group decision making (GDM) problems involving interval multiplicative preference relations, based on the continuous ordered weighted geometric averaging (COWGA) operator. First, we define some concepts of the compatibility degree and the compatibility index for the two interval multiplicative preference relations based on the COWGA operator. Then, we study some desirable properties of the compatibility index and investigate the relationship between each expert's interval multiplicative preference relation and the synthetic interval multiplicative preference relation. The prominent characteristic of the compatibility index based on the COWGA operator is that it can deal with the compatibility of all the arguments in two interval arguments considering the risk attitude of decision maker rather than the compatibility of the two simple points in intervals. Second, in order to determine the experts' weights in the GDM with the interval multiplicative preference relations, we propose an optimal model based on the criterion of minimizing the compatibility index. Finally, we give a numerical example to develop the new approach to GDM with interval multiplicative preference relations.