Fuzzy Number Approach Research Articles

Penentuan Prioritas Risiko pada Rancangan Rantai Pasok Biodiesel dari Minyak Goreng Bekas di Kota Padang

<p><em>A design of biodiesel supply chain from </em><em>waste</em><em> cooking oil conducted in previous studies. Implementation of supply chain design needs to be studied more in</em><em> </em><em>depth and comprehensive. One aspect of the study is a supply chain risk management. Supply chain risk </em><em>management</em><em> is important because many events in supply chain which raises operational problems and the cessation of business activity. Because of vulnerability of the supply chain to various internal and external risks, the study of risk sources is needed. This study examines the sources of risk and the weighting that may occur along the supply chain for the distribution of biodiesel </em><em>from waste</em><em> cooking oil from suppliers</em><em> that</em><em> located in various places until the sale of biodiesel to consumers that are targeted to the public</em><em> in</em><em> Padang.</em><em> The method used in this research is fuzzy AHP with triangular fuzzy number approach. Risk identification is done with the study of literature and assessment by experts. Based on the results obtained sequences risks from largest to smallest weight are raw materials, market, quality, production, transportation, and partnerships.</em></p>

Service quality of airports' food and beverage retailers. A fuzzy approach

Nowadays the profitability of airports is largely based on non-aeronautical or commercial activities, and particularly on retail and food and beverage services. Further, researchers concur that shopping, eating and drinking in airports have to be considered an important part of tourists' experience and activities that can significantly enhance or damage the tourist destination image. Despite this, there is still little research that analyses how service quality (SQ) is perceived by passengers consuming food and beverages (F&B) in airport areas. This study aims to deepen the scientific debate on this topic. Specifically, this study applies fuzzy numbers with a sample of 551 passengers flying from Olbia-Costa Smeralda Airport (Sardinia Region, Italy) with the aim of determining how they perceive the SQ delivered by F&B retailers and whether age plays a determinant role in segmentation. Findings reveal which F&B features outperform others; furthermore, they show that age is a moderating factor in consumer satisfaction, with older passengers being less satisfied than their counterparts. This study adds knowledge to the literature devoted to SQ, applying a fuzzy number approach to the under-investigated research area related to F&B consumption in airport areas. Further, it provides information useful to airport managers on the features of F&B services that are most important in shaping consumer satisfaction, based also on their age. Limitations of the study are also discussed and suggestions for future research are given.

Sieving out the Poor using Fuzzy Decision Making Tools

Background/Objectives: The study of poverty and analysis of the set of ‘poor’ in terms of exact or classical (crisp set) is unrealistic because the concept of ‘poor’ is non-exact. This paper uses multi-criteria fuzzy decision-making tools and fuzzy set theory to capture the extent of poverty of a household both in terms of quantitative and qualitative factors. Methods/Statistical Analysis: This paper introduces pentagonal fuzzy numbers to analyze the level of poverty of a household. Stratified Fuzzy Analytical Hierarchy Process (SFAHP) has been utilized to compare the alternatives (different households) with respect to various criteria to estimate the fuzzy criteria weights based on the membership function. Findings: Impreciseness is accounted as measureable factor using Stratified Fuzzy AHP and Pentagonal Fuzzy Numbers approach. With help of this method a position of one’s level of poverty has been captured. Thus it has logically been argued that one can overcome the dichotomy existing in the traditional method of analyzing poverty. Applications/Improvements: This article represents the subjective arguments by establishing the qualitative multi-criteria fuzzy variables into membership grades like very poor, almost very poor, poor, rather poor and non-poor. Thus the whole data of the subset of the poor has been categorized by sieving out technique. This way the impreciseness is accounted as measureable factor using Stratified Fuzzy AHP and Pentagonal Fuzzy Numbers approach. Thus with help of this method the decision makers can identify a poor person in any existing socio-economical situations.Keywords: Decision, Pentagonal Fuzzy Numbers, Poverty, SFAHP

Forecasting Tourism Based on Fuzzy Time Series with Trapezoidal Fuzzy Numbers Approach

Forecasting Tourism Based on Fuzzy Time Series with Trapezoidal Fuzzy Numbers Approach

PEMILIHAN KRITERIA DALAM PEMBUATAN KARTU KREDIT DENGAN MENGGUNAKAN METODE FUZZY AHP

The rise of credit card users, make banks compete to provide a wide range of offers to attract customers. This study aims to determine the priority criteria selected customers for establishment credit cards by using a fuzzy AHP method. Method fuzzy AHP is a combination of the AHP method and fuzzy method. Fuzzy AHP approach particularly triangular fuzzy number approach to the AHP scale should be able to minimize uncertainty for the results obtained are more accurate. The criteria used for this study is the interest rate , the promo/discount, limit, and annual dues. Based on the steps of calculation of data obtained fuzzy AHP respondents have value CR = 0.049, which means consistent because it meets the standards set CR < 0.10 and that became the order of priority are limit, promo/discount, interest rate, and continued with weights of priorities are 0408, 0.28, 0.16, and 0.152.

Ordered Fuzzy Numbers Approach to an Investment Project Evaluation

Abstract Aim of the paper is to propose a new tool for a decision supporting system concerning the financial project evaluation. It is based on the determination of the internal rate of return (IRR) of a investment project in which all expenditure and anticipated incomes are vague, and described by Ordered Fuzzy Numbers (OFNs). It means that the probabilistic approach is neglected in this paper and the use of the well developed arithmetics of OFNs is made to find a positive fuzzy root of a fuzzy polynomial representing the fuzzy net present value of the project. Since in the space of OFNs a partial order relation is defined together with a number of defuzzification functionals, the authors can construct a decision support system for investors helping them in acceptance procedure of most profitable investment projects.

PENDEKATAN TRIANGULAR FUZZY NUMBER DALAM METODE ANALYTIC HIERARCHY PROCESS

The study aims to design decision support system using triangular fuzzy number approach in Analytic Hierarchy Process method. The Analytic Hierarchy Process (AHP) is one of the decision support system method which controls experiences and intuition but critical at coupled comparative scales because it uses crisp. A triangular fuzzy number is used to approach AHP scale so as to obtain more fexible value of coupled comparison. The triangular fuzzy number-AHP method uses analysis synthetic extent in the priority processing implemented on ranking cases of potential acceptors of scholarship of PPA and BBM in Technic Faculty Tadulako University of Palu. The result is the average of mismatch between the result by triangular fuzzy number-AHP method and the result of manual work which are 23.93% of the PPA scholarship and 27,35% of the BBM scholarship. Keyword :Triangular Fuzzy Number, Analytic Hierarchy Process, scholarship

Application of non-normal p-norm trapezoidal fuzzy number in reliability evaluation of electrical substations

This paper presented a non-normal p-norm trapezoidal fuzzy number–based fault tree technique to obtain the reliability analysis for substations system. Due to uncertainty in the collected data, all the failure probabilities are represented by non-normal p-norm trapezoidal fuzzy number. In this paper, the fault tree incorporated with the non-normal p-norm trapezoidal fuzzy number and minimal cut sets approach are used for reliability assessment of substations. An example of 66/11 kV substation is given to demonstrate the method. Further, fuzzy risk analysis problems are described to find out the probability of failure of each components of the system using linguistic variables, which could be used for managerial decision making and future system maintenance strategy.

Power System Reliability Evaluation Using Fault Tree Approach Based on Generalized Fuzzy Number

This paper describes a fault tree technique based on generalized fuzzy numbers to a possibility distribution of reliability indices for power systems. Due to uncertainty in the collected data, all the failure probabilities are represented by generalized trapezoidal fuzzy number. In this paper, the fault-tree incorporated with the generalized trapezoidal fuzzy number and minimal cut sets approach is used for reliability assessment of power systems. An example of gas power plant is given to demonstrate the method. By using this approach fuzzy system reliability can be analyzed in a more flexible and more intelligent manner.

Qualitative factors in data envelopment analysis: A fuzzy number approach

Qualitative factors are difficult to mathematically manipulate when calculating the efficiency in data envelopment analysis (DEA). The existing methods of representing the qualitative data by ordinal variables and assigning values to obtain efficiency measures only superficially reflect the precedence relationship of the ordinal data. This paper treats the qualitative data as fuzzy numbers, and uses the DEA multipliers associated with the decision making units (DMUs) being evaluated to construct the membership functions. Based on Zadeh’s extension principle, a pair of two-level mathematical programs is formulated to calculate the α-cuts of the fuzzy efficiencies. Fuzzy efficiencies contain more information for making better decisions. A performance evaluation of the chemistry departments of 52 UK universities is used for illustration. Since the membership functions are constructed from the opinion of the DMUs being evaluated, the results are more representative and persuasive.

Conceptual procedure for ranking fuzzy numbers based on adaptive two-dimensions dominance

Many methods for ranking of fuzzy numbers have been proposed. However, these methods just can apply to rank some types of fuzzy numbers (i.e. normal, non-normal, positive, and negative fuzzy numbers), and many ranking cases can just rank by their graphs intuitively. So, it is important to use proper methods in the right condition. In this paper, a conceptual procedure is proposed to describe how to use intuitive ranking and some technical ranking methods properly. We also introduce a new ranking fuzzy numbers approach that can adjust experts’ confidence and optimistic index of decision maker using two parameters (α and β) to handle the problems and find the best solutions. After illustrate many numerical examples following our conceptual procedure the ranking results are validity.

Discussion on “Structural reliability analysis through fuzzy number approach, with application to stability”

We comment on the fuzzy number approach presented by Marco Savoia [Comput. Struct. 80 (2002) 1087]. Savoia’s statement regarding computational procedures for fuzzy structural analysis is corrected. A general and powerful numerical algorithm for nonlinear fuzzy structural analysis is presented.

Structural reliability analysis through fuzzy number approach, with application to stability

Structural reliability analysis in the presence of scarce or uncertain data is performed in the framework of possibility theory. Fuzzy numbers are used to define an equivalence class of probability distributions compatible with available data and corresponding upper and lower cumulative density functions. A procedure is then proposed to perform reliability analysis using extended fuzzy operations. It gives estimates of small and large fractiles of output variables which are conservative with respect to probability. A criterion to define the membership functions of fuzzy numbers starting from available information is also described. The method is used to perform reliability analysis against buckling. In civil engineering problems, usually very few data are available to define structural imperfections; often, normative requirements only are available in structural design stages. The results presented confirm the theoretical predictions described in Ref. [Comput. Meth. Appl. Mech. Eng. 160 (1998) 205], i.e., reliability analysis using fuzzy number theory gives conservative bounds of small/large fractiles with respect to probability.

Workers' placement in an industrial environment

A problem of workers' placement in an industrial environment is studied in this paper; an effect of workers' relationship to their placement is newly included in this paper. Evaluating workers' suitability is important for decision makers to select the better candidates under various evaluation criteria among available human resources and jobs. For problems of this type, an analysis using the fuzzy number approach promises to be potentially effective. In order to make a more convincing and accurate decision, the relationship among workers is included in the workers' assignment in an industrial environment. By means of aggregating the decision-makers' fuzzy assessment the fuzzy suitability evaluation is performed. Typical application examples are also presented: the results demonstrate that the workers' relationship is an important factor and our method is effective for the decision making process.