scholarly journals A New Approach for Ranking Shadowed Fuzzy Numbers and its Application

2020 ◽  
Vol 12 (6) ◽  
pp. 17-32
Author(s):  
Mohamed A. H. El-Hawy
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Standard Form ◽  
Decision Makers ◽  
New Method ◽  
New Approach ◽  
Decision Making Problem ◽  
Different Types ◽  
Multi Attribute Decision Making ◽  
The Comparative Study

In many decision situations, decision-makers face a kind of complex problems. In these decision-making problems, different types of fuzzy numbers are defined and, have multiple types of membership functions. So, we need a standard form to formulate uncertain numbers in the problem. Shadowed fuzzy numbers are considered granule numbers which approximate different types and different forms of fuzzy numbers. In this paper, a new ranking approach for shadowed fuzzy numbers is developed using value, ambiguity and fuzziness for shadowed fuzzy numbers. The new ranking method has been compared with other existing approaches through numerical examples. Also, the new method is applied to a hybrid multi-attribute decision making problem in which the evaluations of alternatives are expressed with different types of uncertain numbers. The comparative study for the results of different examples illustrates the reliability of the new method.

scholarly journals Inclusion of uncertainty with different types of fuzzy numbers into DEMATEL

2021 ◽  
Vol 16 (1) ◽  
pp. 49-59
Author(s):  
Tjaša Šmidovnik ◽  
Petra Grošelj
Keyword(s):  
Complex System ◽  
Decision Making ◽  
Fuzzy Sets ◽  
Construction Projects ◽  
Fuzzy Numbers ◽  
Decision Makers ◽  
Multi Criteria Decision Making ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Different Types

Nowadays the multi-criteria decision making is very complicated due to uncertainty, vagueness, limited sources, knowledge and time. The Decision-making Trial and Evaluation Laboratory (DEMATEL) method is a widely used multi-criteria decision-making method to analyze the structure of a complex system. It is useful in analysing the cause and effect relationships between the components of the system. Fuzzy sets can be used to include uncertainty in multi-criteria decision making. Linguistic assessments of decision makers can be translated into fuzzy numbers. In this study, fuzzy numbers, intuitionistic fuzzy numbers and neutrosophic fuzzy numbers were used for the decision makers evaluations in the DEMATEL method. The aim of this study was to evaluate how different types of fuzzy numbers affect the final results. An application of risk in construction projects was selected from the literature, where seven experts used a linguistic scale to evaluate different criteria. The results showed that there are only slight differences between the weights of the criteria with regard to the type of fuzzy numbers.

scholarly journals A Method of Determining Multi-Attribute Weights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 506 ◽  
Author(s):  
Dongsheng Xu ◽  
Yanran Hong ◽  
Kaili Xiang
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Entropy Weight ◽  
Attribute Weights ◽  
Attribute Weight ◽  
Decision Making Problem ◽  
Entropy Weight Method ◽  
Todim Method ◽  
Multi Attribute Decision Making ◽  
Weight Method

In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights. Subjective weights are given directly by decision makers. Objective weights are obtained by establishing a weight optimization model with known decision information, then this method will compare with entropy weight method. These simulation results also validate the effectiveness and reasonableness of this proposed method.

scholarly journals A Hybrid Technique for Order Preference in Decision-Making

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Ismat Beg ◽  
Tabasam Rashid
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
New Method ◽  
Hybrid Technique ◽  
Ideal Solution ◽  
Laboratory Technique ◽  
Decision Making Problem ◽  
Classical Technique ◽  
Order Preference ◽  
Interaction Phenomena

We propose a hybrid technique by merging fuzzy version of the classical technique for order preference by similarity to ideal solution and decision-making trial and evaluation laboratory technique for trapezoidal fuzzy numbers, where interaction phenomena among the decision-making problem and weights are taken into account. The feasibility of this new method is demonstrated by applying it to an example.

A Service Selection Algorithm Based on Heterogeneous QoS Model and Synthetic Weights

2015 ◽  
Vol 734 ◽  
pp. 459-462 ◽  
Author(s):  
Sen Zeng ◽  
Guo Qi Ni ◽  
Miao Miao Fan ◽  
Lin Zhang ◽  
Yuan Hua He
Keyword(s):  
Decision Making ◽  
Service Selection ◽  
Selection Problem ◽  
Final Decision ◽  
Selection Algorithm ◽  
Decision Making Problem ◽  
Different Types ◽  
Traditional Service ◽  
Multi Attribute Decision Making

Quality of Service (QoS) aware-based service selection problem is a multi-attribute decision making problem. In order to solve service selection problem with QoS indicators describe by different types of data, a service selection algorithm based on heterogeneous QoS model and synthetic weight (SSAoHS) is proposed. SSAoHS introduces real number, interval number and linguistic data to describe different QoS attributes, considers the subjective and objective weights wholly, and makes the final decision referring to the expectation and variance of QoS attributes after computing the synthetic scores. SSAoHS expands the traditional service selection and it is efficient and effective.

scholarly journals DETERMINING WEIGHTS OF FUZZY ATTRIBUTES FOR MULTI-ATTRIBUTE DECISION-MAKING PROBLEMS BASED ON CONSENSUS OF EXPERT OPINIONS

2015 ◽  
Vol 21 (5) ◽  
pp. 738-755 ◽  
Author(s):  
Seyed Hossein RAZAVI HAJIAGHA ◽  
Hannan Amoozad MAHDIRAJI ◽  
Shide Sadat HASHEMI ◽  
Zenonas TURSKIS
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Decision Makers ◽  
Expert Opinions ◽  
Decision Making Problem ◽  
Order Preference ◽  
Multi Attribute Decision Making ◽  
Group Opinion ◽  
Selection Of

An important objective of a group decision-making problem is to determine the weights of attributes that are given by experts participating in the decision-making process. Since different decision-makers have unequal importance in decision-making, a series of studies focused on finding a set of appropriate weights for experts participating in a decision problem. In this paper, the problem of weight determination among decision-makers is investigated by extending an algorithm taken from the technique for order preference by similarity-to-ideal solution. In this case, a pair of most compromising and least compromising solutions is derived from individual judgments of decision-makers and then, these solutions are applied as the bases for determining the magnitude of individual alignment with the group opinion by using a closeness coefficient approach. Determining the weights of decision-makers, the group decision-making problem is then solved. Application of the proposed method is illustrated by a numerical example for the selection of a maintenance strategy.

An extension on PROMETHEE based on the typical hesitant fuzzy sets to solve multi-attribute decision-making problem

Kybernetes ◽  
2016 ◽  
Vol 45 (8) ◽  
pp. 1213-1231 ◽  
Author(s):  
Amin Mahmoudi ◽  
Soheil Sadi-Nezhad ◽  
Ahmad Makui ◽  
Mohammad Reza Vakili
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Distance Functions ◽  
Fuzzy Information ◽  
Content Type ◽  
Decision Making Problem ◽  
Promethee Method ◽  
Multi Attribute Decision Making ◽  
Fuzzy Linguistic ◽  
Practical Implications

Purpose The purpose of this paper is to extend the PROMETHEE method under typical hesitant fuzzy information for solving multi-attribute decision-making problem in which there is hesitancy among experts. Design/methodology/approach Different aggregation and distance functions were developed to deal with HFS. But it is rational that different operators applying in existing methods can produce different results. Also, it is difficult for decision makers to select suitable operators. To address the drawback, this paper develops the PROMETHEE method as an outranking approach to accommodate hesitant fuzzy information. Since the proposed method is constructed on the basis of the pair-wise comparisons, it is independent of the aggregation and distance functions. Findings To demonstrate the efficiency and accuracy of the proposed method, the authors provide a numerical example and a comparative analysis. The results indicate that outranking-based methods suggest a better ranking than the aggregation- and distance-based methods. Research limitations/implications The proposed approach does not consider the hesitant fuzzy linguistic information decision-making problem. Practical implications The proposed approach can be applied in many group decision-making problems in which there is hesitancy among experts. Originality/value This paper proposes an extension on PROMETHEE method under hesitant fuzzy information, which has not been reported in the existing academic literature.

scholarly journals MULTIPLE ATTRIBUTE DECISION MAKING (MADM) BASED SCENARIOS

2016 ◽  
Vol 20 (1) ◽  
pp. 101-111 ◽  
Author(s):  
Sarfaraz HASHEMKHANI ZOLFANI ◽  
Reza MAKNOON
Keyword(s):  
Decision Making ◽  
Quantitative Methods ◽  
Multiple Attribute Decision Making ◽  
Decision Makers ◽  
New Approach ◽  
New Concepts ◽  
Multiple Attribute ◽  
Different Types ◽  
The Future ◽  
Future Topics

Decision making takes into account a myriad of factors about the future topics, which often prove challenging and quite complicated. Multiple Attribute Decision-Making (MADM) methods still have not become powerful enough to help decision makers to adopt the best solutions regarding future issues. Different scenarios are suitable for developing an appropriate outlook toward different probable futures. Scenarios are not inherently quantitative, but recently different integrated quantitative methods have been incorporated with the processes in various studies. Previously, different types of scenario-based MADM methods have been presented in different studies, but they just considered each case separately. In those studies, MADM methods were only applied to evaluate the situation in scenario-based MADM. This research concentrates on another paradigm in applying scenarios to upcoming events, MADM methods in the new area are explored, and the concept, which is called MADM based scenarios, is presented. In different situations and scenarios, different MADM models will happen. New concepts about most useful criterion and applicable alternatives are introduced in this new approach for decision-making about the future. In addition, a general framework is proposed for applying MADM-based scenarios for unpredictable scenarios and situations, which can be almost controlled future in practice.

PT-MARCOS multi-attribute decision-making method under neutrosophic cubic environment

2021 ◽  
pp. 1-11
Author(s):  
Jianping Fan ◽  
Shanshan Zhai ◽  
Meiqin Wu
Keyword(s):  
Decision Making ◽  
Bounded Rationality ◽  
Attenuation Factor ◽  
Entropy Method ◽  
Decision Makers ◽  
Neutrosophic Set ◽  
Compromise Solution ◽  
Decision Making Problem ◽  
Multi Attribute Decision Making ◽  
Gains And Losses

 Neutrosophic cubic set (NCS) can process complex information by combining interval neutrosophic set and single-valued neutrosophic set. It can simultaneously describe the uncertain and certain part of information. Prospect theory (PT) is based on bounded rationality and can reflect decision maker’s different risk attitudes to gains and losses. Measurement of Alternatives and Ranking according to COmpromise Solution (MARCOS) method can measure and rank the alternatives according to compromise solution. Considering the bounded rationality of decision makers and compromise solution of alternatives, this paper combines the PT with MARCOS method to neutrosophic cubic environment to solve multi-attribute decision-making problem. First, the theoretical basis of NCS is introduced. Second, the PT and MARCOS method are combined. To reflect subjective views of decision makers and the objectivity of decision-making information, this paper uses geometric average method to combine subjective weights (calculated by the best-worst method) and objective weights (calculated ed by the entropy method). Then, the PT-MARCOS method is applied to a decision-making problem. Further,a sensitivity analysis is conducted to study the influence of different attenuation factor values and different expectation coefficient on the ranking; and through comparative analysis to illustrate the superiority of the PT-MARCOS method. Finally is the conclusion.

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