A new possibility degree measure for interval‐valued q‐rung orthopair fuzzy sets in decision‐making

Garg, Harish

doi:10.1002/int.22308

Cited by 107 publications

(27 citation statements)

References 52 publications

(330 reference statements)

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“…Finally, we set up an application for MADM to solve a problem. In the existing decision-making principles of interval-valued q-rung orthopair fuzzy sets [61] and linguistic interval-valued Pythagorean fuzzy sets [62], we hope this fuzzy rough concept can be incorporated.…”

Section: Discussionmentioning

confidence: 99%

Covering Fuzzy Rough Sets via Variable Precision

Atef

Azzam

2021

Journal of Mathematics

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Lately, covering fuzzy rough sets via variable precision according to a fuzzy γ -neighborhood were established by Zhan et al. model. Also, Ma et al. gave the definition of complementary fuzzy γ -neighborhood with reflexivity. In a related context, we used the concepts by Ma et al. to construct three new kinds of covering-based variable precision fuzzy rough sets. Furthermore, we establish the relevant characteristics. Also, we study the relationships between Zhan’s model and our three models. Finally, we introduce a MADM approach to make a decision on a real problem.

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Section: Discussionmentioning

confidence: 99%

Covering Fuzzy Rough Sets via Variable Precision

Atef

Azzam

2021

Journal of Mathematics

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“…One is that the weights of experts can also be considered into the model, such as using the belief entropy [70]. e other is that using interval-valued linguistic variables as in [71,72] may be a more flexible way to represent uncertain information.…”

Section: Discussionmentioning

confidence: 99%

Fire Safety Evaluation for Scenic Spots: An Evidential Best-Worst Method

Chen

Xie

2021

Journal of Mathematics

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Fire safety plays a vital role in tourism management, which can cause significant loss of life and property. It is necessary to present an efficient fire safety evaluation for scenic spots. However, some key issues are not well addressed in existing methods. For example, how to model experts’ opinions and how to combine them are still open problems. To address these issues, a new evaluation method based on the Dempster–Shafer evidence theory and best-worst method is presented. First, a fire safety evaluation index system is constructed using the domino model. Domain experts can evaluate different factors with linguistic assessments. The best-worst method is used to determine the weights of different factors. Then, these weighted linguistic assessments are efficiently fused by Dempster’s combination rule to obtain the evaluation result. Finally, a case study is illustrated to demonstrate the efficiency of the proposed method in fire safety evaluation for scenic spots. The main contribution of the proposed method is to represent and handle the uncertainty in experts’ linguistic assessments, so as to decrease the uncertainty and improve decision making. In addition, the weight determination method BWM is easier and more reliable than the existing method AHP.

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“…In the future, we expect to work in operating the proposed approaches in some other real-life scenarios such as "medical diagnosis", "pattern recognition", and "brain hemorrhage" [51,52]. Also, there is a wide scope to enhance the theory to the different kinds of fuzzy sets such as neutrosophic set, m-polar set, Pythagorean set, etc., [53][54][55][56][57].…”

Section: Resultsmentioning

confidence: 99%

Multi-attribute group decision-making process based on possibility degree and operators for intuitionistic multiplicative set

Garg

2021

Complex Intell. Syst.

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This paper aims to present a novel multiple attribute group decision-making process under the intuitionistic multiplicative preference set environment. In it, Saaty’s 1/9-9 scale is used to express the imprecise information which is asymmetrical distribution about 1. To achieve it, the present work is divided into three folds. First, a concept of connection number-based intuitionistic multiplicative set (CN-IMS) is formulated by considering three degrees namely “identity”, “contrary”, and “discrepancy” of the set and study their features. Second, to rank the given number, we define a novel possibility degree measure which compute the degree of possibility within the given objects. Finally, several aggregation operators on the pairs of the given numbers are designed and investigated their fundamental inequalities and relations. To explain the presented measures and operators, a group decision-making approach is promoted to solve the problems with uncertain information and illustrated with several examples. The advantages, comparative, as well as perfection analysis of the proposed framework are furnished to confirm the approach.

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A new possibility degree measure for interval‐valued q‐rung orthopair fuzzy sets in decision‐making

Abstract: As a generalization of the interval-valued intuitionistic fuzzy sets, a consciousness of interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) is a robust and trustworthy tool to fulfill the imprecise information with an adaptation of the manageable parameter ≥ q 1.

Cited by 107 publications

References 52 publications

Covering Fuzzy Rough Sets via Variable Precision

Covering Fuzzy Rough Sets via Variable Precision

Fire Safety Evaluation for Scenic Spots: An Evidential Best-Worst Method

Multi-attribute group decision-making process based on possibility degree and operators for intuitionistic multiplicative set

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