Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method

Faizi, Shahzad; Sałabun, Wojciech; Rashid, Tabasam; Wątróbski, Jarosław; Zafar, Sohail

doi:10.3390/sym9080136

Cited by 90 publications

(50 citation statements)

References 56 publications

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“…Finally, the MCA methods used to create the proposed framework are vulnerable to the rank reversal phenomenon. It would be beneficial to construct a similar model based on methods that are free of this phenomenon, such as the COMET method [91]. This is important because the rank reversal problem remains an essential challenge in MCA [92], and even more important in the considered problem, where it should be assumed that, along with the lapse of time, the order of the alternatives would vary because of the changes in the evaluated alternatives' set (commercially available EFVs).…”

Section: Conflicts Of Interestmentioning

confidence: 99%

Multi-Criteria Analysis of Electric Vans for City Logistics

et al. 2017

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Atmospheric emissions of anthropogenic origin are one of the most important problems in cities. A particularly discrete ecological footprint in urban environment is made by urban freight transport. This problem has become the key challenge for all stakeholder groups involved in freight transport in urban areas. Over the recent years, there has been a growing interest in using alternative fuel vehicles in urban logistics, including those equipped with electric drive systems. This paper presents a multi-criteria analysis (MCA) of selected electric vehicles (EVs) in the context of their application for the purposes of deliveries in cities. In methodological terms, we present a unique MCA-based approach for evaluation of Electric Freight Vehicles (EFVs). A successful attempt is made to build a multistep MCA procedure based on two carefully selected MCDA methods (PROMETHEE II and fuzzy TOPSIS) to handle both certain and uncertain data sets in a single decision process. In practical terms, we successfully demonstrate the usefulness of the proposed approach by creating a set of decision maker's preference models (based on certain and uncertain data) of carefully selected EFVs and provide sensitivity and robustness analyses of the obtained solutions.

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Section: Conflicts Of Interestmentioning

confidence: 99%

Multi-Criteria Analysis of Electric Vans for City Logistics

et al. 2017

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“…In [28], Wei et al defined new negation, max-union and min-intersection closed operations for HFLTSs; then they proposed a hesitant fuzzy linguistic weighting averaging operator and a hesitant fuzzy linguistic ordered weighting averaging operator to deal with multi-criteria decision-making problems with HFLTSs. Up to now, operations and extensions of HFLTSs [32][33][34][35][36][37][38], hesitant fuzzy linguistic measures and aggregation operators [39][40][41][42][43], and HFLTSs in decision making [44][45][46][47] have been widely studied.…”

Section: Introductionmentioning

confidence: 99%

A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

2017

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Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To this end, we first use the preference degree to define a pseudo-distance between two HFLTSs and analyze its properties. Then we present the positive (optimistic) and negative (pessimistic) information of each criterion provided by each decision maker and aggregate these by using weights of decision makers to obtain the hesitant fuzzy linguistic positive and negative ideal solutions. On the basis of the proposed pseudo-distance, we finally obtain the positive (negative) ideal separation matrix and a new relative closeness degree to rank alternatives. We also design an algorithm based on the provided method to carry out hesitant fuzzy linguistic decision making. An illustrative example shows the elaboration of the proposed method and comparison with the symbolic aggregation-based method, the hesitant fuzzy linguistic TOPSIS method and the hesitant fuzzy linguistic VIKOR method; it seems that the proposed method is a useful and alternative decision-making method.

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“…Nowadays, we can find applications of fuzzy sets in the most part of scientific disciplines, such as decision-making [2][3][4], probability [5], control theory [6], medical sciences [7], characterization of complex systems [8], among others.…”

Section: Introductionmentioning

confidence: 99%

A Generalization of Trapezoidal Fuzzy Numbers Based on Modal Interval Theory

Jorba

Adillon

2017

Symmetry

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Abstract:We propose a generalization of trapezoidal fuzzy numbers based on modal interval theory, which we name "modal interval trapezoidal fuzzy numbers". In this generalization, we accept that the alpha cuts associated with a trapezoidal fuzzy number can be modal intervals, also allowing that two interval modalities can be associated with a trapezoidal fuzzy number. In this context, it is difficult to maintain the traditional graphic representation of trapezoidal fuzzy numbers and we must use the interval plane in order to represent our modal interval trapezoidal fuzzy numbers graphically. Using this representation, we can correctly reflect the modality of the alpha cuts. We define some concepts from modal interval analysis and we study some of the related properties and structures, proving, among other things, that the inclusion relation provides a lattice structure on this set. We will also provide a semantic interpretation deduced from the modal interval extensions of real continuous functions and the semantic modal interval theorem. The application of modal intervals in the field of fuzzy numbers also provides a new perspective on and new applications of fuzzy numbers.

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Group Decision-Making for Hesitant Fuzzy Sets Based on Characteristic Objects Method

Cited by 90 publications

References 56 publications

Multi-Criteria Analysis of Electric Vans for City Logistics

Multi-Criteria Analysis of Electric Vans for City Logistics

A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

A Generalization of Trapezoidal Fuzzy Numbers Based on Modal Interval Theory

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