Total orders of extended hesitant fuzzy linguistic term sets: Definitions, generations and applications

One of the important points in performance measurement and evaluation is determining the relative importance of the metrics used. The aim of this study is to present a fuzzy multi-criteria decision-making approach for evaluating the factors used for performance evaluation. Hesitant fuzzy sets-based analytic hierarchy process method, which is an effective and successful approach to deal with uncertainty, is proposed for analyzing the factors affecting the performance of the branches of a cargo company in Turkey and also for prioritizing them according to their level of importance.

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“…Some other important studies related to the use of hesitant sets in multi-criteria group decision-making can be found in [39][40][41].…”

Section: Hesitant Fuzzy Sets and Hesitant Fuzzy Ahpmentioning

confidence: 99%

A hesitant fuzzy linguistic term sets-based AHP approach for analyzing the performance evaluation factors: an application to cargo sector

Tüysüz

Şimşek

2017

Complex Intell. Syst.

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“…Another strategy is to compute by using each component term in the HFLTS such as in Refs. [26,27,49,68]. This strategy is closer to the idea of hesitation.…”

Section: Techniquementioning

confidence: 98%

Linguistic terms with weakened hedges: A model for qualitative decision making under uncertainty

Wang

Zhang

Zeng

2018

Information Sciences

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When expressing the experts' opinions in qualitative decision making (QDM), linguistic hedges can be considered to modify the force expressed by a predefined linguistic term. If an expert is not sure to select one term, weakened hedges would be a natural way to express the uncertainty. This is usually implemented by using a hedge to modify the most possible term, like the expression "more or less good". To model the uncertainty implied by hedges in QDM, this paper presents a novel linguistic representational and computational model in which the linguistic expressions take the form of a weakened hedge and a linguistic term, which is named as linguistic term with weakened hedge (LTWH). The syntax of LTWHs is defined by a set of hedges and a set of linguistic terms. The semantics of a LTWH is determined, objectively, based on the semantics of the term and a similarity measure of the reference domain. Accordingly, the negation, order relations and some basic operations of LTWHs are defined. To illustrate the effectiveness of LTWHs in granular computing, the connection to some multi-granularity linguistic models is exploited and a process for unifying multi-granularity linguistic information is developed. The major contritions of this paper are: (1) The proposed model enables a new manner to express and operate uncertain linguistic information in QDM; (2) it possesses clear syntax and semantics and the computational results are very interpretable; and (3) the proposed solution of multi-granularity linguistic unification maintains the semantics of the original linguistic information.

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“…After normalizing the numbers of linguistic terms in EHFLTSs, Wang and Xu [60] defined the following total orders on ΕΗ : [60]. The order ≤ is called a total order on ΕΗ if…”

Section: Computational Essential Of Ehfltssmentioning

confidence: 99%

Modeling complex linguistic expressions in qualitative decision making: An overview

Wang

Zhang

Zeng

2018

Knowledge-Based Systems

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The increasing complexity of real-world problems drives the experts to consider complex linguistic expressions instead of single linguistic terms to represent their linguistic opinions under uncertainties. Based on some classical linguistic representational models, a number of techniques of modeling complex linguistic expressions have been proposed. The main purpose of this paper is to present a systematical overview on these techniques, especially their focused linguistic expressions and the associated computational essentials. According to the features of the underlying linguistic expressions, the existing techniques are classified into two categories: the models of natural linguistic expressions, such as uncertain linguistic terms and hesitant fuzzy linguistic term sets, which focus on frequently used expressions in natural languages, and the models of artificial linguistic expressions, such as discrete fuzzy numbers and probabilistic linguistic term sets, which consider special types of expressions artificially constructed by linguistic terms and additional information. After the presentation of comparative analyses * Corresponding author.

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Total orders of extended hesitant fuzzy linguistic term sets: Definitions, generations and applications

Cited by 37 publications

References 60 publications

A hesitant fuzzy linguistic term sets-based AHP approach for analyzing the performance evaluation factors: an application to cargo sector

A hesitant fuzzy linguistic term sets-based AHP approach for analyzing the performance evaluation factors: an application to cargo sector

Linguistic terms with weakened hedges: A model for qualitative decision making under uncertainty

Modeling complex linguistic expressions in qualitative decision making: An overview

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