scholarly journals A Consensus Measure of Expert Judgment in the Fuzzy TOPSIS Method

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 204 ◽  
Author(s):  
Paweł Ziemba ◽  
Aneta Becker ◽  
Jarosław Becker
Keyword(s):  
Fuzzy Numbers ◽  
Fuzzy Topsis ◽  
Topsis Method ◽  
Aggregation Method ◽  
Average Value ◽  
Expert Opinions ◽  
Order Preference ◽  
Consensus Measure ◽  
Individual Expert ◽  
The Ideal

In the case of many complex, real-world decision problems solved with the participation of a group of experts, it is important to capture the uncertainty of opinions and preferences expressed. In such situations, one can use many modifications of the technique for order preference by similarity to the ideal solution (TOPSIS) method, for example, based on fuzzy numbers. In fuzzy TOPSIS, two aggregation methods of fuzzy expert opinions dominate, the first based on the average value technique and the second one extended by the minimum and maximum functions for determining the support of the aggregated fuzzy number. An important disadvantage of both techniques is the fact that the agreement degree of expert opinions is not taken into account. This article proposes the inclusion of the modified procedure for aggregating individual expert opinions, taking into account the degree of agreement of their opinions (called the similarity aggregation method—SAM) and the ranking of experts into the fuzzy TOPSIS method. The fuzzy TOPSIS method extended in this way was used to solve the decision problem of recruiting employees by a group of experts. As part of the solution, the modified SAM was compared with aggregation procedures based on the average value and min-max (minimum and maximum) support. The results of the conducted research indicate that SAM allows fuzzy numbers to be obtained, characterized by less imprecision and greater stability than the other two considered aggregation procedures.

scholarly journals Fuzzy Topsis in the Assessment of OHS Management System

2019 ◽  
Vol 1 (1) ◽  
pp. 18-25
Author(s):  
Joanna Tabor
Keyword(s):  
Health And Safety ◽  
Fuzzy Topsis ◽  
Point Of View ◽  
Assessment Criteria ◽  
Management Systems ◽  
Manufacturing Companies ◽  
Topsis Method ◽  
Furniture Manufacturing ◽  
Order Preference ◽  
Topsis Technique

AbstractOccupational health and safety (OHS) management is a cycle of decision-making processes, many of which are in fact multi-criterion processes in nature. Therefore, it is important to look for and develop tools to support decision-makers in their actions aimed at improving work safety levels. The objective of this paper is to propose and verify the fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method applied to compare and assess the ways OHS management systems function in different companies. The fuzzy TOPSIS method has already been used for a number of years in assessments of alternative solutions in many different areas, but the application that uses ordered fuzzy numbers is quite original in nature. It is especially beneficial to use the fuzzy approach in OHS management systems, as it makes it possible for experts to assess different criteria using most frequently used linguistic variables. The adopted approach was verified in the study of OHS management systems in four furniture manufacturing companies. Assessment criteria were requirements of the PN-N 18001: 2004 Standard. Thanks to the ordered fuzzy TOPSIS method, the analysed OHS management systems were streamlined from the point of view of 24 assessment criteria, and the best and the worst functioning system was identified. The approach presented here may constitute a significant tool for improving OHS management systems.

scholarly journals Extended Version of Linguistic Picture Fuzzy TOPSIS Method and Its Applications in Enterprise Resource Planning Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Shouzhen Zeng ◽  
Muhammad Qiyas ◽  
Muhammad Arif ◽  
Tariq Mahmood
Keyword(s):  
Enterprise Resource Planning ◽  
Fuzzy Numbers ◽  
Distance Measure ◽  
Hamming Distance ◽  
Resource Planning ◽  
Fuzzy Topsis ◽  
Extended Version ◽  
Topsis Method ◽  
Planning Systems ◽  
Enterprise Resource Planning Systems

The main objective of the proposed research in this paper is introducing an extended version of the linguistic picture fuzzy TOPSIS technique and then solving the problems in enterprise resource planning systems. In this article, we use the uncertain information in terms of linguistic picture fuzzy numbers; the decision maker provides membership, neutral, and nonmembership fuzzy linguistic terms to represent uncertain assessments information of alternatives in linguistic multicriteria decision making (LMCDMs). In order to introduce the extended version of TOPSIS method, we defined a new hamming distance measure between two linguistic picture fuzzy numbers. Further, we apply the proposed method to problem of enterprise resource planning systems and discuss numerical implementation of the proposed method of LMCDM.

SIGNED DISTANCED-BASED TOPSIS METHOD FOR MULTIPLE CRITERIA DECISION ANALYSIS BASED ON GENERALIZED INTERVAL-VALUED FUZZY NUMBERS

2011 ◽  
Vol 10 (06) ◽  
pp. 1131-1159 ◽  
Author(s):  
TING-YU CHEN
Keyword(s):  
Decision Analysis ◽  
Supplier Selection ◽  
Fuzzy Numbers ◽  
Multiple Criteria ◽  
Decision Makers ◽  
Multiple Criteria Decision Analysis ◽  
Topsis Method ◽  
Order Preference ◽  
Priority Order ◽  
Interval Valued

The theory of interval valued fuzzy sets is very valuable for modeling impressions of decision makers. In addition, it gives ability to quantify the ambiguous nature of subjective judgments in an easy way. In this paper, by extending the technique for order preference by similarity to ideal solution (TOPSIS), it is proposed a useful method based on generalized interval valued trapezoidal fuzzy numbers (GITrFNs) for solving multiple criteria decision analysis (MCDA) problems. In view of complexity in handling sophisticated data of GITrFNs, this paper employs the concept of signed distances to establish a simple and effective MCDA method based on the main structure of TOPSIS. An algorithm based on TOPSIS method is established to determine the priority order of given alternatives by using properties of signed distances. Finally, the feasibility of the proposed method is illustrated by a practical example of supplier selection.

Comprehensive Decision-Making Model for the Evaluation of Sustainable Products

2014 ◽  
Vol 644-650 ◽  
pp. 5532-5537
Author(s):  
Chang Chun Zhou ◽  
Xiu Fen Zhao ◽  
Cong Ying Deng ◽  
Li Liu ◽  
Zhi Hong Dong ◽  
...  
Keyword(s):  
Comprehensive Evaluation ◽  
Environmental Issues ◽  
Evaluation Procedure ◽  
Topsis Method ◽  
Analytic Hierarchy ◽  
Sustainable Products ◽  
Order Preference ◽  
Decision Making Model ◽  
Hierarchy Process ◽  
The Ideal

Environmental issues have been receiving an increasing amount of attention. However, evaluating sustainable products is a challenging task. A comprehensive approach to evaluate sustainable products based on life cycle assessment strategy is proposed in this study. The evaluation procedure is based on the combination of analytic hierarchy process (AHP) and the technique for order preference by similarity to the ideal solution (TOPSIS) method. A sample evaluation for disposable coffee cups is provided to illustrate the comprehensive evaluation of sustainable products.

scholarly journals GT-Bidding: Group Trust Model of P2P Network Based on Bidding

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Lin Zhang ◽  
Xinyan Wei ◽  
Yanwen Huang ◽  
Haiping Huang ◽  
Xiong Fu ◽  
...  
Keyword(s):  
Trust Model ◽  
Human Society ◽  
Ideal Solution ◽  
P2p Networks ◽  
Topsis Method ◽  
Impact Function ◽  
Order Preference ◽  
Group Trust ◽  
Bidding Process ◽  
The Ideal

Due to the lack of trusted third parties as guarantees in peer-to-peer (P2P) networks, how to ensure trusted transactions between peers has become a research hotspot. However, the open and distributed characteristics of P2P networks have brought challenges to network security, and there are problems such as node fraud and unavailability of services in the network. To solve the problem of how to select trusted transaction peers in P2P groups, a new trust model, GT-Bidding, is proposed in this paper. This model follows the bidding process of human society. First, each service peer applies for a group of guarantee peers and carries out credit mortgages for this service. Second, based on the entropy and TOPSIS method (Technology for Order Preference by Similarity to an Ideal Solution) approaching the ideal solution, a set of ideal trading sequences is selected. Then, the transaction impact function is used to assign weights to the selected guarantee peers and service nodes, respectively; thus, the comprehensive trust of each service node can be calculated. Finally, the service peer is verified using feedback based on the specific confidence level, which encourages the reputation of the service and its guarantee peers to update. Experiments show that GT-Bidding improves the successful transaction rate and resists complex attacks.

scholarly journals Extended TOPSIS Method for Supplier Selection under Picture Hesitant Fuzzy Environment Using Linguistic Variables

2021 ◽  
Vol 2021 ◽  
pp. 1-28
Author(s):  
Rabia Ambrin ◽  
Muhammad Ibrar ◽  
Manuel De La Sen ◽  
Ihsan Rabbi ◽  
Asghar Khan
Keyword(s):  
Fuzzy Numbers ◽  
Fuzzy Topsis ◽  
Vital Role ◽  
Decision Makers ◽  
Linguistic Variables ◽  
Comparison Analysis ◽  
Topsis Method ◽  
Practical Applications ◽  
Fuzzy Environment ◽  
Intuitionistic Fuzzy Topsis

The main purpose of this planned manuscript is to establish an algorithm for the solution of multiattribute decision-making (MADM) issues, where the experts utilizing linguistic variables provide the information about attributes in the form of picture hesitant fuzzy numbers. So, for the solution of these kinds of issues, we develop the TOPSIS algorithm under picture hesitant fuzzy environment using linguistic variables, which plays a vital role in practical applications, notably MADM issues, where the decision information is arranged by the decision-makers (DMs) in the form of picture hesitant fuzzy numbers. Finally, a sample example is given as an application and appropriateness of the planned method. At the end, we conduct comparison analysis of the planned method with picture fuzzy TOPSIS method and intuitionistic fuzzy TOPSIS method.

scholarly journals A Data Pre-Processing Model for the Topsis Method

2016 ◽  
Vol 16 (2) ◽  
pp. 219-235 ◽  
Author(s):  
Andrzej Kobryń ◽  
Joanna Prystrom
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Interval Data ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Topsis Method ◽  
Real Numbers ◽  
Calculation Algorithms ◽  
Negative Ideal Solution ◽  
The Ideal

AbstractTOPSIS is one of the most popular methods of multi-criteria decision making (MCDM). Its fundamental role is the establishment of chosen alternatives ranking based on their distance from the ideal and negative-ideal solution. There are three primary versions of the TOPSIS method distinguished: classical, interval and fuzzy, where calculation algorithms are adjusted to the character of input rating decision-making alternatives (real numbers, interval data or fuzzy numbers). Various, specialist publications present descriptions on the use of particular versions of the TOPSIS method in the decision-making process, particularly popular is the fuzzy version. However, it should be noticed, that depending on the character of accepted criteria – rating of alternatives can have a heterogeneous character. The present paper suggests the means of proceeding in the situation when the set of criteria covers characteristic criteria for each of the mentioned versions of TOPSIS, as a result of which the rating of the alternatives is vague. The calculation procedure has been illustrated by an adequate numerical example.

scholarly journals Multi-Criteria Decision Making Using TOPSIS Method Under Fuzzy Environment. Application in Spillway Selection

Proceedings ◽  
2018 ◽  
Vol 2 (11) ◽  
pp. 637 ◽  
Author(s):  
Vasiliki Balioti ◽  
Christos Tzimopoulos ◽  
Christos Evangelides
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Fuzzy Topsis ◽  
Topsis Method ◽  
Northern Greece ◽  
Analytic Hierarchy ◽  
Order Preference ◽  
Optimum Type ◽  
Topsis Technique ◽  
Selection Of

The selection of an appropriate spillway has a significant effect to the construction of a dam and several procedures and considerations are needed. In the past, this selection of the type of the spillway was arbitrary and sometimes with bad results. Recently the Multiple Criteria Decision Making theory has given the possibility to make a decision about the optimum form of a spillway under complex circumstances. In this paper, the above method is used and especially the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method for the selection of a spillway for a dam in the district of Kilkis in Northern Greece—‘Dam Pigi’. As the criteria were fuzzy and uncertain, the Fuzzy TOPSIS method is introduced together with the AHP (Analytic Hierarchy Process), which is used for the evaluation of criteria and weights. Five types of spillways were selected as alternatives and nine criteria. The criteria are expressed as triangular fuzzy numbers in order to formulate the problem. Finally, using the Fuzzy TOPSIS method, the alternatives were ranked and the optimum type of spillway was obtained.

scholarly journals Application of fuzzy technique for order preference by similarity to the ideal solution in the selection of candidates

2012 ◽  
Vol 9 (1) ◽  
pp. 35
Author(s):  
Mohd Ariff Ahmad Taharim ◽  
Liew Kee Kor
Keyword(s):  
Real Life ◽  
Fuzzy Topsis ◽  
Decision Makers ◽  
Mathematical Form ◽  
Selection Processes ◽  
Proposed Model ◽  
Order Preference ◽  
The Right ◽  
Selection Of ◽  
The Ideal

Selecting the right candidate for the right cause is similar to identifying the most compromising solution of multi-criteria decision making (MCDM) problem. In real life the selection criteriamay involve vague and incomplete data which cannot be expressed in precise mathematical form or numerical values. Apparently fuzzy-based technique can be applied to describe and represent these data in fuzzy numbers. This paper presents a MCDM fuzzy TOPSIS based model designed to solve the selection problemfor allocation of government staff quarters. Result shows that the proposed model is suitable and appropriate. It was also found that the MCDM model which uses single decision maker rating process can also be applied to multiple decision makers. It is recommended that the application of fuzzy TOPSIS can be extended to other selection processes such as vendor selection, training evaluation or group marking of project works.

scholarly journals A Framework to Evaluate Project Complexity Using the Fuzzy TOPSIS Method

2021 ◽  
Vol 13 (6) ◽  
pp. 3020
Author(s):  
Hadi Jaber ◽  
Franck Marle ◽  
Ludovic-Alexandre Vidal ◽  
Ilkan Sarigol ◽  
Lionel Didiez
Keyword(s):  
Research Work ◽  
Fuzzy Topsis ◽  
Warning Signs ◽  
Negative Consequences ◽  
Topsis Method ◽  
Practical Applications ◽  
Score Sheet ◽  
Project Complexity ◽  
Order Preference ◽  
Complexity Assessment

This work aims to help managers anticipate, detect, and keep under control complex situations before facing negative consequences. This article explores complexity modeling theory and develops a framework and associated score sheet to measure project complexity. A framework comprising ninety factors is presented and divided into seven categories: stakeholders, project team, project governance, product, project characteristics, resources, and environment. For the project complexity assessment grid, the project manager prioritizes and weighs its factors using linguistic variables. The score sheet is customizable in its handling of the factors and their weights. A critical state of the art on multi-criteria methodologies is presented, as well as reasons for using the fuzzy technique for order preference by similarity to ideal solution (TOPSIS) method. This method provides early-warning signs with the possibility of comparing multiple projects. It also enables one to measure and prioritize areas and domains where complexity may have the highest impact. Practical applications on three projects within an automotive manufacturer highlight the benefits of such an approach for managers. Project managers could use both a project complexity rating system and a measure of risk criticality to decide on the level of proactive actions needed. This research work differs from traditional approaches that have linked proactive actions to risk criticality but not project complexity.

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