A New Method for Ranking Discrete Z-number

Gong, Yuming; Li, Xiang; Jiang, Wen

doi:10.1109/ccdc49329.2020.9164654

Cited by 3 publications

(1 citation statement)

References 20 publications

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“…Jiang et al 23 considers centroid points and Minkowski degree of fuzziness in ranking Z‐numbers. Gong et al 24 proposed a new ranking method of discrete Z‐number by transforming discrete Z‐number into the classical discrete fuzzy number. Such type of approaches were also attempted by Kang et al, 25 Azadeh et al, 26 Azadeh et al, 18 and so forth.…”

Section: Introductionmentioning

confidence: 99%

Ranking of Z‐numbers based on value and ambiguity at levels of decision making

Chutia

2020

Int J Intell Syst

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The concept of Z-number, is very new in the literature, proposed by Zadeh in 2011. The Z-number Z A B = (,) is a pair of fuzzy numbers where the first component represents the restriction and the second component represents the certainty of the first component. Further, its application is evident in decision-making problems, risk assessment, linear programming problems, and so forth. Hence, under such circumstances ranking of Z-numbers need an utmost attention, as such, a few methods of ranking Z-numbers are proposed by various researcher. However, in many situations the existing methods depict drawbacks and limitations as discussed in this paper. Hence, a new method of ranking Z-numbers is essential for an appropriate decision-making. In this paper, a new method of ranking Z-numbers based on the concept of value and ambiguity at levels of decision-making have been proposed. The method seems to deliver a reasonable decision and proper ranking of Z-numbers of various types. A few numerical examples are discussed which show the out-performance of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Ranking of Z‐numbers based on value and ambiguity at levels of decision making

Chutia

2020

Int J Intell Syst

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On a total order on the set of Z-numbers based on discrete fuzzy numbers

Mir-Fuentes,

De Miguel,

Massanet

et al. 2024

Comp. Appl. Math.

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Z-numbers were introduced by Zadeh in 2011 as a pair of fuzzy numbers (A, B), where A is interpreted as a fuzzy restriction on the values of a variable, while B is interpreted as a measure of certainty or sureness of A. From the initial proposal, several other approaches have been introduced in order to reduce the computational cost of the involved operations. One of such approaches is called discrete Z-numbers where A and B are modelled as discrete fuzzy numbers. In this paper, the construction of total orders on the set of discrete Z-numbers is investigated for the first time. Specifically, the total order is designed for discrete Z-numbers where the second component has membership values belonging to a finite and prefixed set of values. The method relies on solid and coherent linguistic criteria and several linguistic properties are analyzed. The order involves the transformation of the first components of the discrete Z-numbers by using the credibility of the second components in the sense that a lower credibility enlarges in a greater extent the uncertainty of the first component. Then a total order on the set of discrete fuzzy numbers is applied. Finally, a practical example on how to order discrete Z-numbers is presented and a comparison with other ranking methods is performed from which the strengths of our method are stressed.

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Aggregation operators of quadripartitioned single-valued neutrosophic Z-numbers with applications to diverse COVID-19 scenarios

Borah

Dutta

2023

Engineering Applications of Artificial Intelligence

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A New Method for Ranking Discrete Z-number

Cited by 3 publications

References 20 publications

Ranking of Z‐numbers based on value and ambiguity at levels of decision making

Ranking of Z‐numbers based on value and ambiguity at levels of decision making

On a total order on the set of Z-numbers based on discrete fuzzy numbers

Aggregation operators of quadripartitioned single-valued neutrosophic Z-numbers with applications to diverse COVID-19 scenarios

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