Multi-Criteria Decision Aid (MCDA) or Multi-Criteria Decision Making (MCDM) methods have received much attention from researchers and practitioners in evaluating, assessing and ranking alternatives across diverse industries. Among numerous MCDA/MCDM methods developed to solve real-world decision problems, the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) continues to work satisfactorily across different application areas. In this paper, we conduct a state-of-the-art literature survey to taxonomize the research on TOPSIS applications and methodologies. The classification scheme for this review contains 266 scholarly papers from 103 journals since the year 2000, separated into nine application areas: (1) Supply Chain Management and Logistics, (2) Design, Engineering and Manufacturing Systems, (3) Business and Marketing Management, (4) Health, Safety and Environment Management, (5) Human Resources Management, (6) Energy Management, (7) Chemical Engineering, (8) Water Resources Management and (9) Other topics. Scholarly papers in the TOPSIS discipline are further interpreted based on (1) publication year, (2) publication journal, (3) authors' nationality and (4) other methods combined or compared with TOPSIS. We end our review paper with recommendations for future research in TOPSIS decision-making that is both forward-looking and practically oriented. This paper provides useful insights into the TOPSIS method and suggests a framework for future attempts in this area for academic researchers and practitioners.

Review: A state-of the-art survey of TOPSIS applications

In this paper the authors review the developments of the analytic hierarchy process (AHP) since its inception. The focus of this paper is a neutral review on the methodological developments rather than reporting its applications that have appeared since its introduction. In particular, we discuss problem modelling, pair-wise comparisons, judgement scales, derivation methods, consistency indices, incomplete matrix, synthesis of the weights, sensitivity analysis and group decisions. All have been important areas of research in AHP.

https://pure.port.ac.uk/ws/files/94447/AHP_review_Preprint.pdf

Review of the main developments in the analytic hierarchy process

A taxonomy of line balancing problems and their solutionapproaches

Failure mode and effects analysis (FMEA) is a widely used engineering technique for designing, identifying and eliminating known and/or potential failures, problems, errors and so on from system, design, process, and/or service before they reach the customer (Stamatis, 1995). In a typical FMEA, for each failure modes, three risk factors; severity (S), occurrence (O), and detectability (D) are evaluated and a risk priority number (RPN) is obtained by multiplying these factors. There are significant efforts which have been made in FMEA literature to overcome the shortcomings of the crisp RPN calculation. In this study a fuzzy approach, allowing experts to use linguistic variables for determining S, O, and D, is considered for FMEA by applying fuzzy 'technique for order preference by similarity to ideal solution' (TOPSIS) integrated with fuzzy 'analytical hierarchy process' (AHP). The hypothetical case study demonstrated the applicability of the model in FMEA under fuzzy environment.

Fuzzy failure modes and effects analysis by using fuzzy TOPSIS-based fuzzy AHP

Purpose – The purpose of this paper is to present a detailed literature review of the recent applications of the analytic hierarchy process (AHP) and analytic network process (ANP) group decision‐making methodologies.Design/methodology/approach – Among more than 600 related papers published in the period 2005‐2009, a total of 232 application articles published in highly reputed international academic journals were selected and referenced in this paper. Papers were categorized according to application areas, subject titles, publication date, country of origin, academic journals, and integrated methodologies, and are summarized herein by various tables and charts.Findings – The findings show that during the years 2005‐2009, use of the AHP technique has continued to increase exponentially. Moreover, it is expected that ANP will gain more popularity in the future, as the benefits of ANP become better understood. Applications of AHP have been dominant in manufacturing, followed by the environmental management ...

The analytic hierarchy process and analytic network process: an overview of applications

The performance evaluation of banks has important results for creditors, investors and stakeholders since it determines banks' capabilities to compete in the sector and has a critical importance for the development of the sector. The aim of this study is to propose a fuzzy multi-criteria decision model to evaluate the performances of banks.The largest five commercial banks of Turkish Banking Sector are examined and these banks are evaluated in terms of several financial and non-financial indicators. Fuzzy Analytic Hierarchy Process (FAHP) and Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) methods are integrated in the proposed model. After the weights for a number of criteria are determined based on the opinions of experts using the FAHP method, these weights are input to the TOPSIS method to rank the banks. The results show that not only financial performance but also non-financial performance should be taken into account in a competitive environment.

Fuzzy performance evaluation in Turkish Banking Sector using Analytic Hierarchy Process and TOPSIS

The existence of common tasks for model mixes is the main characteristic of the mixed-model assembly lines. The decision problem considered in this study is how some common tasks can be duplicated to improve the efficiency of a mixed-model assembly line under the assumption that some of the precedence relationships among common tasks for different products are conflicting. This decision problem is called by the authors as “mixed-model assembly line balancing with precedence conflicts and duplicable common tasks (MALB-CD).” Although precedence conflicts have been mentioned in some of the earlier studies, to the best knowledge of the authors, this is the first study that deals with precedence conflicts by mathematical modeling. In the first step of this study, a new binary mathematical model with single objective for MALB-CD is developed where the single-objective is to minimize the number of workstations. Three goals relevant to MALB-CD are then incorporated into this single-objective model to give rise to two pre-emptive goal programming models, one with precise and the other with fuzzy goals. Minimizing the number of workstations, the cycle time and the total cost required to duplicate common tasks are the goals in question. The proposed mathematical models are illustrated and validated by means of a number of numerical illustrations.

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Papers

Fuzzy performance evaluation in Turkish Banking Sector using Analytic Hierarchy Process and TOPSIS

Multi-objective approaches to balance mixed-model assembly lines for model mixes having precedence conflicts and duplicable common tasks.