Applying utility representative function for fuzzy analytic hierarchy process

Determining road handling priority is considered as a complicated multicriteria decision making problem. In so doing, the Analytic Hierarchy Process (AHP) has been widely used to weight the importance. Fuzziness and vagueness however, are typical in many decision-making problems, so that fuzzy sets could be integrated with the pairwise comparison as an extension of the AHP. This study uses Fuzzy Analytic Hierarchy Process (FAHP) and TOPSIS method in determining regencial road handling priority for road links under severe circumstances in Badung regency in Bali province. Data are taken from a previous study, which had also been conducted for Badung regencial road handling priority using the AHP and SK.NO.77/KPTS/Db/1990 method. The weights of main and sub criteria are determined using FAHP and subsequently the ranking of road links is determined using TOPSIS method. The AHP method gave somewhat different result to 'SK.NO.77/KPTS/Db/1990' method. On the other hand, FAHP and TOPSIS method produce the same result to 'SK.NO.77/KPTS/Db/1990' method. This is probably best explained by the fact that they similarly considered traffic volumes as the most significant factor. FAHP and TOPSIS method however, are preferred to the AHP and SK.NO.77/KPTS/Db/1990 method in determining regencial road handling priority in Badung regency.Abstrak. Prioritas penanganan jalan merupakan salah satu tugas berat dan penting yang dihadapi oleh pengambil keputusan pada pemerintah daerah. Pada kenyataannya, penentuan penanganan jalan dapat dilihat sebagai permasalahan pengambilan keputusan yang melibatkan banyak kriteria yang bersifat kompleks. Metode proses hirarki analitik (AHP) telah banyak digunakan untuk menentukan bobot kriteria di dalam penentuan prioritas penanganan jalan. Akan tetapi karena keragu-raguan merupakan hal yang lazim terjadi di dalam pengambilan keputusan, maka teknik fuzzy dapat dikombinasikan ke dalam metode AHP. Pada studi ini penentuan prioritas penanganan jalan kabupaten untuk kondisi rusak berat di Kabupaten Badung, Bali dilakukan dengan metode Fuzzy AHP (FAHP) dan TOPSIS. Data penelitian digunakan dari studi sebelumnya di Kabupaten Badung yang menggunakan metode AHP dan SK.NO.77/KPTS/Db/1990. Metode FAHP digunakan untuk pembobotan kriteria sedangkan metode TOPSIS digunakan untuk penentuan urutan ruas jalan yang akan mendapat penanganan. Metode AHP memberikan hasil yang sedikit berbeda dengan metode SK.NO.77/KPTS/Db/1990. Sementara itu FAHP dan metode TOPSIS memberikan hasil yang sama dengan metode SK.NO.77/KPTS/Db/1990. Hal ini kemungkinan karena kedua metode tersebut menggunakan volume lalu lintas sebagai faktor yang paling berpengaruh pada penelitian ini. FAHP dan metode TOPSIS lebih disarankan untuk digunakan di dalam penentuan prioritas penanganan jalan di Kabupaten Badung.

The applied technology university focuses on cultivating practical skill graduates. So the quality of its graduates is an important evaluation index. Because the evaluation of graduates quality is a complex and systematic project, the Fuzzy AHP (Fuzzy Analytic Hierarchy Process) was selected to evaluate the quality of graduates in W university, which combines Fuzzy mathematics theory and AHP. With analysis, the quality of W university students is general. And the school has a good background, but the execution and feedback of theoretical and practical courses need to be strengthened. According to calculation, the weights of four categories of indicators are similar, which indicates that applied-type transformation is a systematic engineering that should pay attention to the whole process. On the other hand, the weight of graduates' employment quality is the most important index, reflecting the strong adaptability of applied-technical talents to employment environment. The technology-oriented universities should strengthen the communication with enterprises and graduates.KeywordsGraduate qualityUniversity of applied technologyFuzzy AHP

The analytic hierarchy process (AHP) approach has been widely applied in multiattribute decision-making situations since being introduced in 1980. It has been believed that the AHP is appropriate to assist decision-making problems characterized by a number of interrelated factors. Recently, a derivative of the AHP, the so-called fuzzy AHP, has been developed by mixing AHP with a fuzzy set theory. This new method increasingly extends its application areas in construction management. Despite extensive use of the fuzzy AHP, little research has been conducted as to the comparability of calculated priority weight vectors by the fuzzy AHP with those by the traditional AHP. Therefore, this paper mainly focuses on the comparison of two AHP approaches by investigating weight vectors produced from a real case study. From the previous studies, four different fuzzy AHP approaches are prepared by applying different fuzzy fundamental scales and weight aggregations, and are tested to identify which method produc...

Ranking of MUDA using AHP and Fuzzy AHP algorithm

Using Fuzzy AHP to manage Intellectual Capital assets: An application to the ICT service industry

Tourism is a dynamic industry that significantly contributes to the global economy, driven by the increasingly diverse preferences of tourists. Addressing these preferences requires sophisticated decision-making models capable of handling the uncertainty and subjectivity of human judgments. This study proposes sustainable models for effectively capturing and evaluating individual tourist preferences using the Analytic Hierarchy Process (AHP) and the Fuzzy Analytic Hierarchy Process (Fuzzy AHP). These models leverage the strengths of the AHP to construct a flexible decision-making framework that adapts to diverse tourist preferences, offering personalized recommendations. In this study, three main criteria are considered: types of tourism, tourism facilities, and tourism areas. Tourists are encouraged to provide their preferences for these criteria and sub-criteria, enabling the AHP and Fuzzy AHP to recommend suitable destinations. An analysis was conducted with 30 respondents providing pairwise comparisons of the tourism criteria, which were then used to generate tourist attraction recommendations using both the AHP and Fuzzy AHP. The study assessed respondents’ satisfaction with the recommendations, finding that both methods were effective, with a slight preference for the Fuzzy AHP due to its ability to better capture individual preferences. The results underscore the potential of these models in sustainably enhancing decision support systems in the tourism industry, offering tailored recommendations that align more closely with tourist expectations.

A multi-criteria problem involves the consideration of two or more criteria in the prioritization of alternative solutions. The Analytic Hierarchy Process (AHP) is a leading multi-criteria method. Consistency checking is a great advantage of AHP. Since in AHP priorities come from pairwise comparisons, it is possible to check the consistency of these comparisons. However, a problem occurs when comparisons fail the consistency check. Then, the excluding options are to review some comparisons (Option 1) or to keep the comparisons (Option 2). This paper presents an AHP application in the maintenance management of an industrial plant. Industrial maintenance is not in the core business of an organization. However, maintenance costs can account over 50% of production costs. One of the first maintenance management decisions is on the maintenance strategy. Shall maintenance anticipate the occurrence of failure? Or shall maintenance be performed after an equipment breakdown? Answering those questions with classical AHP resulted in inconsistent comparison matrices. In that case, Fuzzy AHP (FAHP) were applied, avoiding this situation. Therefore, the purpose of this paper is to present the applications of four AHP models: Classical AHP and three models of FAHP, including hesitant fuzzy sets and intuitionistic fuzzy sets. The application of Hesitant FAHP (HFAHP) and Intuitionistic FAHP (IFAHP) are the novelty of this paper. The four AHP models were also applied in the same case of maintenance management of an industrial plant. Results were very similar, but experts could express their preferred model.

In order to evaluate the performance of complex product, a fuzzy method based on fuzzy matter-element and Fuzzy Analytical Hierarchy Process (FAHP) is proposed. According to the quality objective and performance indicators, the system index of performance evaluation model is designed. Through FAHP and the model of fuzzy comprehensive estimation, the weights of evaluation index are determined for each performance criteria. Then, the performance of complex mechanical and electrical product can be identified by using the fuzzy matter-element theory and FAHP. Finally, A case study is presented to prove the method's feasibility and validity.

Model to evaluate the state of mechanical equipment based on health value

Watershed prioritization using morphometric analysis by MCDM approaches

Marine Accident investigation multidimensional and complex, so this study aimed to provide a systematic approach to determining the degree of the most influential parameters (dimensions) in accident occurrence in order to improve marine safety in the direction of good governance. In this paper, two-phase procedures are proposed. The first stage utilizes the fuzzy Delphi method (FDM) to determine the critical factors of Marine Accident Investigation by interviewing the pertinent authorities. In the second stage, the fuzzy analytic hierarchy process (FAHP) is applied to pair fuzzy numbers as measurable indices and finally to rank by degree each influential criterion within accident investigation. This study considers 1 goal, 4 aspects, and 31 criteria (parameters) and establishes a ranking model that allows decision-makers to assess the prior ordering of reasons and sort by the most effective parameters involved in marine accident occurrence. The empirical study indicated that People, working and living conditions, effect is considered the highest ranking aspect, and Ability, skills, and knowledge of workers is considered the most important evaluation criterion overall by experts. These results were derived from fuzzy Delphi analytical hierarchy processing (FDAHP). A demonstration of the prior ordering of accident-causing parameters by authorities was addressed as well. Therefore, ranking the priority of every influential criterion (parameter) will help marine transportation decision makers emphasize the areas in which to improve in order to prevent future marine accidents.

A fuzzy multi-criteria spatial decision support system for solar farm location planning

In recent years an increasing number of countries have implemented policy measures to promote renewable energy. However, the most important problem that the policy makers face with is the conflicting linguistic terms and subjective opinions on energy and environment policy. As the environmental policy and energy policy always go hand in hand, it is quite clear that wind as a renewable resource should be competitive with conventional power generation sources. From technical, environmental, socio-economical and socio-political standpoint, wind power is the most deserving of all of the cleaner energy production options (geothermal, solar, tidal, biomass, hydro) for more widespread deployment. Although wind power is a never ending green resource, assessment of environmental risks and impactswhich comprise the backbone of environmental policyin the context of specific projects or sites often are necessary to explicate and weigh the environmental trade-offs that are involved. In the case of wind farms, a number of turbines (ranging from about 250 kW to 750 kW) are connected together to generate large amounts of power. Apart from the constraints resulting from the number of turbines, any site selection should think over the technical, economic, social, environmental and political aspects. Each aspect uses criteria for its own evaluation. Decision making by using multi criteria decision analysis is an attractive solution for obtaining an integrated decision making result. Although Lee et al. (2009), Kaya and Kahraman (2010) and Tegou et al. (2010) has studied wind farm site selection by using different kinds of Analytic Hierarchy Process (AHP), Cheng’s extent analysis of Fuzzy AHP (FAHP) is used in this study and a holistic hierarchy were developed. The analytic hierarchy process (AHP) is a multi-criteria decision making tool to deal with complex, unstructured and multi-attribute problems. This method is distinguished from other multi-criteria methods in three ways: I. Construction of the hierarchy structure II. Pairwise comparisons of different criteria III. Weighing with respective to the overall objective. In AHP, decision makers quantify the importance of criteria by using Cheng’s 1-9 scale. To overcome the disadvantage of reluctant and inconsistent comparison judgments, fuzzy analytic hierarchy process (FAHP) might be used on each factor to determine the weight of fuzziness of its attributes. Hierarchy structure diagram of wind farm site selection is given in Figure 1. This study aims to apply the FAHP to find priority sequence of alternatives and obtain the key success factors for the selection of appropriate sites of wind farms.

Malcolm Baldrige National Quality Award (MBNQA) is a broadly used performance excellence framework to recognize organizations that have outstanding customer-focused processes. MBNQA system is based on an assessment system using a 0–1000 points scale. However, experts prefer making linguistic assessments rather than exact numerical assignments. Fuzzy set theory presents excellent tools and techniques to capture the vagueness and impreciseness in these assessments. This paper develops a new analytic hierarchy process (AHP)-based fuzzy multi-criteria decision-making approach to measure the performance excellence of firms applying for MBNQA. The proposed approach enables experts to use seven different fuzzy scales to evaluate firms using the MBNQA criteria. These fuzzy scales involve both positive fuzzy numbers and negative fuzzy numbers, and present an easier and efficient alternative to the calculations made in pairwise comparison matrices. In this way, the experts filling in a questionnaire can easily understand the reciprocal scale and establish comparison matrices. Using negative fuzzy numbers in AHP scale is the crucial point of this paper. To show the applicability of the method, a numerical example composed of a four-level hierarchy including seven main criteria, 18 sub-criteria, and three alternatives is also given. We use Buckley’s Fuzzy AHP approach for comparative analysis. Our application reveals that the proposed fuzzy AHP approach efficiently measures the quality performance of the firms applying to MBNQA.

The aim of this paper is to determining the best solution to overcome Supply Chain Knowledge Flow Barriers (SCKFBs) in an Indian case organization by using an Analytic Hierarchy Process (AHP) and the Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) method in fuzzy environment. The weights of the SCKFBs identified using fuzzy AHP method and ranking of the solutions determined by fuzzy TOPSIS method. The uniqueness of the study comes through the application of the AHP and TOPSIS method under fuzzy environment to find the solutions for SCKFBs in order to make knowledge flow implementation becomes simpler in the organization.