Application of weighting functions to the ranking of fuzzy numbers

Saeidifar, A.

doi:10.1016/j.camwa.2011.07.012

Cited by 22 publications

(9 citation statements)

References 27 publications

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“…Izadikhah et al (2014) extended TOPSIS in fuzzy environment by applying the nearest weighted interval approximation of fuzzy numbers. Saeidifar (2011) investigated the application of weighting functions to the ranking of fuzzy numbers. The weighted distance measure for ranking fuzzy numbers is introduced in this research.…”

Section: Interval Decision Matrixmentioning

confidence: 99%

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An integrated fuzzy-AHP and TOPSIS approach for maintenance policy selection

Hemmati

Galankashi

Imani

et al. 2019

IJQRM

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Purpose The purpose of this paper is to select the best maintenance policy for different types of equipment of a manufacturer integrating the fuzzy analytic hierarchy process (FAHP) and the technique for order of preference by similarity to ideal solution (TOPSIS) models. Design/methodology/approach The decision hierarchy of this research includes three levels. The first level aims to choose the best maintenance policy for different types of equipment of an acid manufacturer. These equipment pieces include molten sulfur ponds, boiler, absorption tower, cooling towers, converter, heat exchanger and sulfur fuel furnace. The second level includes decision criteria of added-value, risk level and the cost. Lastly, the third level comprises time-based maintenance (TBM), corrective maintenance (CM), shutdown maintenance and condition-based maintenance (CBM) as four maintenance policies. Findings The best maintenance policy for different types of equipment of a manufacturer is the main finding of this research. Based on the obtained results, CBM policy is suggested for absorption tower, boiler, cooling tower and molten sulfur ponds, TBM policy is suggested for converters and heat exchanger and CM policy is suggested for a sulfur fuel furnace. Originality/value This research develops a novel model by integrating FAHP and an interval TOPSIS with concurrent consideration of added-value, risk level and cost to select the best maintenance policy. According to the highlights of the previous studies conducted on maintenance policy selection and related tools and techniques, an operative integrated approach to combine risk, added-value and cost with integrated fuzzy models is not developed yet. The majority of the previous studies have considered classic fuzzy approaches such as FAHP, FANP, Fuzzy TOPSIS, etc., which are not completely capable to reflect the decision makers’ viewpoints.

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Section: Interval Decision Matrixmentioning

confidence: 99%

“…The weighted distance measure for ranking fuzzy numbers is introduced in this research. This section discusses the nearest weighted interval concept for a fuzzy number (Saeidifar, 2011):…”

Section: Interval Decision Matrixmentioning

confidence: 99%

An integrated fuzzy-AHP and TOPSIS approach for maintenance policy selection

Hemmati

Galankashi

Imani

et al. 2019

IJQRM

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“…Kumar et al [12] in 2011 introduced ranking non-normal p-norm trapezoidal fuzzy numbers. Saeidifar [13] proposes a new ranking method for fuzzy numbers, which uses a defuzzification of fuzzy numbers and a weighting function. Kaur and Kumar [14] in 2012 proposed a new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Supply Chain Networking Models Under Fuzzy Uncertainty

Baidya

2022

Preprint

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In decision-making model, the techniques of numerical analysis have been widely adopted. It is rare for someone to solve a linear program by hand — except perhaps in a class-room. Large-scale simulations would be all but impossible without the aid of a computer. For many people, numerical techniques have superseded analytic techniques as a tool for solving mathematical problems. This paper proposed Generalized LUExponential Trapezoidal Fuzzy Number and their ranking based on numerical integration. In this ranking method, the values are calculated with left and right spreads at some 𝜶 −level of generalized LU-exponential trapezoidal fuzzy numbers and Weddle‘s rule for numerical integration. To illustrate the proposed methods, a fuzzy four dimensional transportation problem (FDTP) is proposed and solved. This ranking approach is very simple and useful for the real life inequality based decision making problems.

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“…Grey numbers, fuzzy numbers and interval numbers are the main modes of representation for uncertain information. Among them, the ranking of fuzzy numbers and interval numbers have received more attention, and research findings about them are more abundant (Saeidifar, 2011; Song et al , 2012; Sevastianov, 2007; Senguta and Pal, 2000). The representation of uncertain information as a range of interval grey numbers or interval numbers cannot be fully consistent with reality.…”

Section: Introductionmentioning

confidence: 99%

Study on distance measuring and sorting method of general grey number

Jiang

Liu

Fang

et al. 2017

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Purpose The purpose of this paper is to study distance measuring and sorting method of general grey number. Design/methodology/approach First, the concept of generalised grey number based on grey system theory is given in this paper. Second, from the perspective of kernel and degree of greyness of general grey number, the method of measuring the distance of general grey number and its properties are given. At the same time, the concepts of the kernel expectation and the kernel variance of the general grey number are proposed. Findings Up to now, the method of measuring the distance and sorting of general grey number is established. Thus, the difficult problem for set up sorting of general grey number has been solved to a certain degree. Research limitations/implications The method exposed in this paper can be used to integrate information form a different source. Distance measuring and sorting method of general grey number could be extended to the case of grey algebraic equation, grey differential equation and grey matrix which includes general grey numbers, etc. Originality/value The concepts of the kernel expectation and the kernel variance of the general grey number are proposed for the first time in this paper; the novel sorting rules of general grey numbers were also constructed.

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Application of weighting functions to the ranking of fuzzy numbers

Cited by 22 publications

References 27 publications

An integrated fuzzy-AHP and TOPSIS approach for maintenance policy selection

An integrated fuzzy-AHP and TOPSIS approach for maintenance policy selection

Supply Chain Networking Models Under Fuzzy Uncertainty

Study on distance measuring and sorting method of general grey number

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