Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems

Abo-Sinna, Mahmoud A.; Amer, Azza H.

doi:10.1016/j.amc.2003.12.087

Cited by 203 publications

(100 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Chen [16] extended the TOPSIS method to fuzzy group decisionmaking situations by defining an exact Euclidean distance between any two fuzzy numbers. The literature review clearly showed that all the methods lead to an exact relative closeness for each alternative [9]. Jiang et al [17] stated that TOPSIS was widely used due to its logicality, rationality, and computational simplicity.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The TOPSIS method is an MCDM approach that is widely used in the literature [9]. With this method, the positive ideal solution maximises the benefit criteria of attributes and minimises the cost criteria of attributes, whereas the negative ideal solution maximises the cost criteria of attributes and minimises the benefit criteria of attributes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Multi-Criteria Decision-Making Approach That Combines Fuzzy Topsis and Dea Methodologies

Taylan

Alidrisi

Kabli

2014

SAJIE

View full text Add to dashboard Cite

Employee selection is a multi-criteria decision-making (MCDM) problem for selecting suitable applicants from a ready pool. The selection aims to make use of their knowledge, relevant skills, and other characteristics to perform a specific job. The aim of this study is to develop a systematic approach for selecting the best candidates among the air traffic controllers (ATCs) for aviation in Saudi Arabia. Three integrated methods were employed for decision-making in this study. First, a fuzzy decision tree was applied to determine the criteria weights, then the fuzzy Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) was employed to rank the attributes. In the last step, the Data Envelopment Analysis (DEA) was used to transform the qualitative variables into quantitative equivalences. A survey was conducted by national and international decisionmakers to elicit the necessary information on the criteria and sub-criteria of the air traffic control system. The decision problem was formulated by employing five criteria and ten applicants. The relationship between the fuzzy TOPSIS and fuzzy-weighted average was very positive for decision-making. The outcomes of the fuzzy TOPSIS and DEA encouraged the development of a decision support system for the selection of ATCs. OPSOMMINGDie kies van werknemers vanuit 'n lys van gepaste aansoeke is 'n multi-kriteria besluitnemingsprobleem. Die seleksie se doel is om gebruik te maak van die potensiële werknemers se relevante vaardighede en ander eienskappe om 'n spesifieke taak te verrig. Die doel van hierdie navorsing is om 'n sistematiese benadering, om die beste kandidate vir lugruimbeheerderposisies in Saoedi Arabië te identifiseer, te ontwikkel. Drie geïntegreerde metodes is ingespan vir die besluitneming in hierdie studie. Eerstens is 'n wasige besluitnemingsboom toegepas om die kriteria gewigte te bepaal. Daarna is die wasige tegniek van Orde Voorkeur deur Ooreenkoms tot die Ideale Oplossing toegepas om die kenmerke te rangskik. Laastens is die Data Omvangs Analise gebruik om die kwalitatiewe veranderlikes tot kwantitatiewe gelykhede om te skakel. 'n Peiling is onder nasionale en internasionale besluitnemers geneem om die noodsaaklike inligting rakende die kriteria en sub-kriteria van die lugruimbeheerstelsel te bepaal. Die besluitnemingsvraagstuk is geformuleer deur vyf kriteria en tien aansoekers in te span. Die verhouding tussen die wasige Orde Voorkeur deur Ooreenkoms tot die Ideale Oplossing en wasig-geweegde gemiddeld was besonder positief vir besluitneming. Die resultate van die wasige Orde Voorkeur deur Ooreenkoms tot die Ideale Oplossing en die Data Omvangs Analise moedig die ontwikkeling van 'n besluitneming ondersteuningstelsel vir lugruimbeheerders aan.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Multi-Criteria Decision-Making Approach That Combines Fuzzy Topsis and Dea Methodologies

Taylan

Alidrisi

Kabli

2014

SAJIE

View full text Add to dashboard Cite

show abstract

“…Abo-Sinna [46] extended TOPSIS approach to solve multiobjective dynamics programming (MODP) problems. He has showed that using the fuzzy max-min operator with nonlinear membership functions, the obtained solutions are always nondominated solutions of the original MODP problems.…”

Section: Fuzzy Topsismentioning

confidence: 99%

Developing Fuzzy TOPSIS Method based on Interval-valued Fuzzy Sets

Mehrjerdi¹

2012

IJCA

View full text Add to dashboard Cite

Ranking competing alternatives in terms of their overall performance with respect to some criterions in fuzzy environment is possible by the use of fuzzy TOPSIS methodology using interval-valued fuzzy-sets concepts. This author presents an effective fuzzy multi-criteria method based upon the fuzzy model and the concepts of positive ideal and negative ideal solution points for prioritizing alternatives using inputs from a team of decision makers. The fuzzy sets concepts are used to evaluate the performance of alternatives and the importance of criteria. Fuzzy TOPSIS based on the interval-valued fuzzy-sets is fully described and a case study on RFID comprised of four main criteria and five alternatives is constructed and solved by the proposed extended TOPSIS method. The TOPSIS methodology used in this article is able to grasp the ambiguity exists in the utilized information and the fuzziness appears in the human judgments and preferences. TOPSIS technique can easily produce satisfactory results, and hence stimulates creativity and the invention for developing new methods and alternative approaches. This article is a very useful source of information for Fuzzy TOPSIS based on the interval-valued fuzzy sets and extends the area of application of RFID technology in general. Due to the fact that a better management of a system is related to the full understanding of the technologies implemented and the system under consideration, sufficient background on the methodologies are provided and a case study is developed and solved by the proposed method.

show abstract

“…Chen and Tzeng (2004) offered a method of grey related analysis for MADM problems. Abo-Sinna and Amer (2005) proposed an extension of TOPSIS for multi-objective large-scale nonlinear programming problems. Jahanshahloo et al (2006) proposed the extension of TOPSIS method for decision-making problems with fuzzy data.…”

Section: Introductionmentioning

confidence: 99%

Permutation based decision making under fuzzy environment using Tabu search

Bashiri¹,

Koosha²,

Karimi³

2012

ijiec

View full text Add to dashboard Cite

One of the techniques, which are used for Multiple Criteria Decision Making (MCDM) is the permutation. In the classical form of permutation, it is assumed that weights and decision matrix components are crisp. However, when group decision making is under consideration and decision makers could not agree on a crisp value for weights and decision matrix components, fuzzy numbers should be used. In this article, the fuzzy permutation technique for MCDM problems has been explained. The main deficiency of permutation is its big computational time, so a Tabu Search (TS) based algorithm has been proposed to reduce the computational time. A numerical example has illustrated the proposed approach clearly. Then, some benchmark instances extracted from literature are solved by proposed TS. The analyses of the results show the proper performance of the proposed method.

show abstract

Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems

Cited by 203 publications

References 12 publications

A Multi-Criteria Decision-Making Approach That Combines Fuzzy Topsis and Dea Methodologies

A Multi-Criteria Decision-Making Approach That Combines Fuzzy Topsis and Dea Methodologies

Developing Fuzzy TOPSIS Method based on Interval-valued Fuzzy Sets

Permutation based decision making under fuzzy environment using Tabu search

Contact Info

Product

Resources

About