scholarly journals Two Different Approaches for Consistency of Intuitionistic Multiplicative Preference Relation using Directed Graph

2021 ◽  
Author(s):  
Mamata Sahu ◽  
Anjana Gupta
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Directed Graph ◽  
Preference Relation ◽  
Decision Makers ◽  
Decision Making Process ◽  
Public Concern ◽  
Preference Relations ◽  
Multiplicative Preference Relations ◽  
Complete Relation

Abstract Consistency is an important issue that causes wide public concern of decision-makers in the decision-making process. The lack of consistency in preference relations results in a vague solution. The main goal of this paper is to achieve the consistent intuitionistic multiplicative preference relation using a graphical approach. We have proposed two different characterizations of the consistency for intuitionistic multiplicative preference relation(IMPR). In the first approaches, we propose an algorithm to achieve the consistency of IMPR by using the cycles of various length in a directed graph. The second approach proves isomorphism between the set of IMPRs and the set of asymmetric multiplicative preference relations. That result is explored to use the methodologies developed for asymmetric multiplicative preference relations to the case of IMPRs and achieve the consistency of asymmetric multiplicative preference relation using a directed graph. Sometimes the decision maker may not be able to provide the complete relation. So the above-said method is applied for an incomplete IMPR also, here consistency plays an important role. The examples are provided to illustrate both the methods in all cases.

Expected consistency-based model and multiplicative DEA cross-efficiency for group decision-making with incomplete distribution linguistic preference relations

2021 ◽  
pp. 1-21
Author(s):  
Jinpei Liu ◽  
Longlong Shao ◽  
Ligang Zhou ◽  
Feifei Jin
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Optimization Model ◽  
Group Decision ◽  
Preference Relation ◽  
Preference Relations ◽  
Priority Vector ◽  
Linguistic Preference Relation ◽  
Multiplicative Preference Relations ◽  
High Consistency

Faced with complex decision problems, Distribution linguistic preference relation (DLPR) is an effective way for decision-makers (DMs) to express preference information. However, due to the complexity of the decision-making environment, DMs may not be able to provide complete linguistic distribution for all linguistic terms in DLPRs, which results in incomplete DLPRs. Therefore, in order to solve group decision-making (GDM) with incomplete DLPRs, this paper proposes expected consistency-based model and multiplicative DEA cross-efficiency. For a given incomplete DLPRs, we first propose an optimization model to obtain complete DLPR. This optimization model can evaluate the missing linguistic distribution and ensure that the obtained DLPR has a high consistency level. And then, we develop a transformation function that can transform DLPRs into multiplicative preference relations (MPRs). Furthermore, we design an improved multiplicative DEA model to obtain the priority vector of MPR for ranking all alternatives. Finally, a numerical example is provided to show the rationality and applicability of the proposed GDM method.

scholarly journals The impact of information technology in decision making process of companies in Kosovo

2018 ◽  
Vol 51 (1-2) ◽  
pp. 13-23
Author(s):  
Emin Qerim Neziraj ◽  
Aferdita Berisha Shaqiri
Keyword(s):  
Decision Making ◽  
Information Technology ◽  
Decision Maker ◽  
Business Process ◽  
New Technologies ◽  
Decision Makers ◽  
Decision Making Process ◽  
Or Organization ◽  
The Impact ◽  
Future Business

Before the decision makers set much higher requirements in the decision-making than ever before due to the environment of decision-makers subject to change under the influence of progress and development of new technologies, networking individual or organization inside and the outside environment, and modern means of communication enabling continuous inflow, flow and sharing of data and information. In these modern conditions the process of collecting, analyzing, selecting data and information to make informed decisions in the context of possible restrictions and the available options, and ultimately making decisions as the basis for future business or behavior, is not simplified. The use of new technologies in the decision-making process provided numerous opportunities to facilitate decisions selection. However, the decision maker should still be able to differentiate which knowledge should be used to serve in decision making, and which models, methods, tools, systems, and procedures to be used in certain situations, with the purpose of successful decision selection. In this paper, we will examine the decision making process during the business process of the companies in Kosovo.

scholarly journals Consensus-Based Multi-Person Decision Making with Incomplete Fuzzy Preference Relations Using Product Transitivity

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 185 ◽  
Author(s):  
Atiq-ur Rehman ◽  
Mustanser Hussain ◽  
Adeel Farooq ◽  
Muhammad Akram
Keyword(s):  
Decision Making ◽  
Preference Relation ◽  
Selection Procedure ◽  
Feedback Mechanism ◽  
Decision Makers ◽  
Consensus Process ◽  
Preference Relations ◽  
Priority Weights ◽  
Fuzzy Preference Relations ◽  
Fuzzy Preference

In this paper, a consensus-based method for multi-person decision making (MPDM) using product transitivity with incomplete fuzzy preference relations (IFPRs) is proposed. Additionally, an average aggregation operator has been used at the first level to estimate the missing preference values and construct the complete fuzzy preference relation (FPR). Then it is confirmed to be product consistent by using the transitive closure formula. Following this, weights of decision makers (DMs) are evaluated by merging consistency weights and predefined priority weights (if any). The consistency weights for the DMs are estimated through product consistency investigation of the information provided by each DM. The consensus process determines whether the selection procedure should be initiated or not. The hybrid comprises of a quitting process and feedback mechanism, and is used to enhance the consensus level amongst DMs in case of an inadequate state. The quitting process arises when some DMs decided to leave the course, and is common in MPDM while dealing with a large number of alternatives. The feedback mechanism is the main novelty of the proposed technique which helps the DMs to improve their given preferences based on this consistency. At the end, a numerical example is deliberated to measure the efficiency and applicability of the proposed method after the comparison with some existing models under the same assumptions. The results show that proposed method can offer useful comprehension into the MPDM process.

scholarly journals Hesitant Probabilistic Fuzzy Preference Relations in Decision Making

2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Zia Bashir ◽  
Tabasam Rashid ◽  
Mobashir Iqbal
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Preference Relation ◽  
Decision Makers ◽  
Decision Support Model ◽  
Fuzzy Preference Relation ◽  
Preference Relations ◽  
Hesitant Fuzzy Preference Relation ◽  
Fuzzy Preference

Preference of an alternative over another alternative is a useful way to express the opinion of decision maker. In the process of group decision making, preference relations are used in preference modelling of the alternatives under given criteria. The probability is an important tool to deal with uncertainty; in many scenarios of decision making probabilities of different events affect the decision making process directly. In order to deal with this issue, in this paper, hesitant probabilistic fuzzy preference relation (HPFPR) is defined. Furthermore, consistency of HPFPR and consensus among decision makers are studied in the hesitant probabilistic fuzzy environment. In this respect, many novel algorithms are developed to achieve consistency of HPFPRs and reasonable consensus between decision makers and a final algorithm is proposed comprehending all other algorithms, presenting a complete decision support model for group decision making. Lastly, we present a case study with complete illustration of the proposed model and discussed the effects of probabilities on decision making validating the importance of the introduction of probability in hesitant fuzzy preference relation.

scholarly journals Strategies for the evaluation of electrification projects of public transportation by bus

2020 ◽  
Vol 6 ◽  
Author(s):  
Filipe Leonardo Cardoso Souza ◽  
André Soares Dantas
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Public Transportation ◽  
Project Evaluation ◽  
Decision Makers ◽  
Decision Making Process ◽  
Evaluation Strategy ◽  
Electric Bus ◽  
Global Vision ◽  
Research Implication

Purpose: This paper introduces a project evaluation strategy and risk mapping for electrification of public transportation. It is also the scope for identifying the participation of institutions beyond and of the transportation ecosystem in the decision-making process of electric bus projects. Methodology/ Approach: The methodology is based in a feasibility study to assess the applicability of electric buses according to the operational and infrastructure characteristics of the cities. Findings: The achieved strategy presented a global vision of project elaboration, including the participation of steakholders who are not traditionally associated with planning, but are an active part of the services provision. Research Implication: Based on the project evaluation strategy proposed is possible to reduce market or technology uncertainties, to anticipate and mitigate the identified risks to provide safer recommendations to decision makers Originality/Value of paper: transportation planners and decision maker will now be able to make decisions based on a thorough assessment of the compatibility of electric buses with the respective cities

ON COMPATIBILITY OF UNCERTAIN MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS AND ITS APPLICATION TO GROUP DECISION MAKING

2013 ◽  
Vol 21 (01) ◽  
pp. 9-28 ◽  
Author(s):  
LIGANG ZHOU ◽  
HUAYOU CHEN
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Preference Relation ◽  
Scientific Basis ◽  
Decision Makers ◽  
Preference Relations ◽  
Compatibility Index ◽  
Optimal Weights ◽  
Linguistic Preference Relation

The aim of this work is to develop a new compatibility for the uncertain multiplicative linguistic preference relations and determine the optimal weights of decision makers (DMs), which are very suitable to deal with group decision making (GDM) problems involving uncertain multiplicative linguistic preference relations. First, the concepts of compatibility degree and compatibility index for the two uncertain multiplicative linguistic preference relations are proposed. Then we prove the property that the synthetic uncertain linguistic preference relation is of acceptable compatibility under the condition that uncertain multiplicative linguistic preference relations given by DMs are all of acceptable compatibility with a specific linguistic preference relation, which is the scientific basis of using the uncertain multiplicative linguistic preference relations in the GDM. Next, in order to determine the weights of decision makers, we construct an optimal model based on the criterion of minimizing the compatibility index. Finally, we develop an application of the optimal weights approach compared with the equal weights approach where we analyze a GDM regarding the selection of investment.

The Decision-Making Process in International Business Strategies

2013 ◽  
Vol 2 (2) ◽  
pp. 1-22 ◽  
Author(s):  
Fabio Musso ◽  
Barbara Francioni
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
International Business ◽  
Decision Makers ◽  
Strategic Decision ◽  
Business Strategies ◽  
Strategic Decision Making ◽  
Decision Making Process ◽  
Context Variables ◽  
The Relationship

This paper investigates the relationship between the contextual factors related to the firm’s decision-maker and the process of international strategic decision-making. The analysis has been conducted focusing on small and medium-sized enterprises (SME). Data for the research came from 111 usable responses to a survey on a sample of SME decision-makers in international field. The results of regression analysis indicate that the context variables, both internal and external, exerted more influence on international strategic decision making process than the decision-maker personality characteristics.

scholarly journals Exploring Multicriteria Elicitation Model Based on Pairwise Comparisons: Building an Interactive Preference Adjustment Algorithm

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Giancarllo Ribeiro Vasconcelos ◽  
Caroline Maria de Miranda Mota
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Decision Makers ◽  
Pairwise Comparisons ◽  
Decision Making Process ◽  
Priority Vector ◽  
Effective Decision ◽  
Low Levels ◽  
Effective Decision Making ◽  
Decision Making Tool

Pairwise comparisons have been applied to several real decision making problems. As a result, this method has been recognized as an effective decision making tool by practitioners, experts, and researchers. Although methods based on pairwise comparisons are widespread, decision making problems with many alternatives and criteria may be challenging. This paper presents the results of an experiment used to verify the influence of a high number of preferences comparisons in the inconsistency of the comparisons matrix and identifies the influence of consistencies and inconsistencies in the assessment of the decision-making process. The findings indicate that it is difficult to predict the influence of inconsistencies and that the priority vector may or may not be influenced by low levels of inconsistencies, with a consistency ratio of less than 0.1. Finally, this work presents an interactive preference adjustment algorithm with the aim of reducing the number of pairwise comparisons while capturing effective information from the decision maker to approximate the results of the problem to their preferences. The presented approach ensures the consistency of a comparisons matrix and significantly reduces the time that decision makers need to devote to the pairwise comparisons process. An example application of the interactive preference adjustment algorithm is included.

scholarly journals PROBABILITY-HESITANT FUZZY SETS AND THE REPRESENTATION OF PREFERENCE RELATIONS

2018 ◽  
Vol 24 (3) ◽  
pp. 1029-1040 ◽  
Author(s):  
Bin ZHU ◽  
Zeshui XU
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Preference Relation ◽  
Decision Makers ◽  
Stochastic Method ◽  
Hesitant Fuzzy Sets ◽  
Fuzzy Preference Relation ◽  
Preference Relations ◽  
Hesitant Fuzzy Preference Relation ◽  
Consensus Index

Probability interpretations play an important role in understanding decision makers’ (DMs) behaviour in decision making. In this paper, we extend hesitant fuzzy sets to probability-hesitant fuzzy sets (P-HFSs) to enhance their modeling ability by taking DMs’ probabilistic preferences into consideration. Based on P-HFSs, we propose the concept of probability-hesitant fuzzy preference relation (P-HFPR) to collect the preferences. We then develop a consensus index to measure the consensus degrees of P-HFPR, and a stochastic method to improve the consensus degrees. All these results are essential for further research on P-HFSs.

scholarly journals An Optimization-Based Approach to Social Network Group Decision Making with an Application to Earthquake Shelter-Site Selection

2019 ◽  
Vol 16 (15) ◽  
pp. 2740 ◽  
Author(s):  
Zhang ◽  
Wang ◽  
Tang ◽  
Dong
Keyword(s):  
Decision Making ◽  
Social Network ◽  
Group Decision Making ◽  
Social Trust ◽  
Group Decision ◽  
Preference Relation ◽  
Decision Makers ◽  
Preference Relations ◽  
Shelter Site ◽  
The Social

The social network has emerged as an essential component in group decision making (GDM) problems. Thus, this paper investigates the social network GDM (SNGDM) problem and assumes that decision makers offer their preferences utilizing additive preference relations (also called fuzzy preference relations). An optimization-based approach is devised to generate the weights of decision makers by combining two reliable resources: in-degree centrality indexes and consistency indexes. Based on the obtained weights of decision makers, the individual additive preference relations are aggregated into a collective additive preference relation. Further, the alternatives are ranked from best to worst according to the obtained collective additive preference relation. Moreover, earthquakes have occurred frequently around the world in recent years, causing great loss of life and property. Earthquake shelters offer safety, security, climate protection, and resistance to disease and ill health and are thus vital for disaster-affected people. Selection of a suitable site for locating shelters from potential alternatives is of critical importance, which can be seen as a GDM problem. When selecting a suitable earthquake shelter-site, the social trust relationships among disaster management experts should not be ignored. To this end, the proposed SNGDM model is applied to evaluate and select earthquake shelter-sites to show its effectiveness. In summary, this paper constructs a novel GDM framework by taking the social trust relationship into account, which can provide a scientific basis for public emergency management in the major disasters field.

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