SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Al-shami, Tareq M.; Ibrahim, Hariwan Z.; Azzam, A. A.; El-Maghrabi, A. I.

doi:10.1155/2022/3653225

Cited by 42 publications

(23 citation statements)

References 30 publications

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“…This section recalls SR-fuzzy sets introduced by [50]. Additionally, some related notions have also been reviewed here.…”

Section: Preliminariesmentioning

confidence: 99%

“…The following comparison is proposed by Al-Shami et al [50] to compare two SRFNs, particularly in the field of MADM problems.…”

Section: Definitionmentioning

confidence: 99%

“…An comparative analysis has been undertaken under the IFSs [11] by taking the IvIFS as zero and Pythagorean fuzzy sets [37] and existing approach of Al-shami et al [50], during analysis the weight vector is 𝑒 = (0.2,0.3,0.5) 𝑇 to justify the superiority of our suggested mean operator over existing alternatives. The best possible score results and the alternative's ranking order are summarized in Table 4.…”

Section: Comparative Analysismentioning

confidence: 99%

“…This generalized form can describe more imprecise cases than PyFS, which is very helpful during decision making issues. Recently, Tareq M. Al-shami et al [50] further generalized intuitionistic fuzzy sets and defined Square Root Fuzzy sets (SR-FSs) and produced its application in MCDM. It can be described from Figure 1 that SR-Fuzzy sets are stronger than the intuitionist fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

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Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Radenović

Ali

Shaheen

et al. 2022

JCCE

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The intuitionistic fuzzy set, which has a membership and non-membership degree, is a controlling and effective device for dealing with fuzziness and uncertainty. Recently, the square root fuzzy set (SR-FS) which is one of the efficient generalizations of an intuitionistic fuzzy set (IFS) for dealing with uncertainty and haziness in information has been introduced. In this study, a novel method for multiple attribute decision-making (MADM) based on SR-Fuzzy information is investigated. Since aggregation operators are significant in the decision-making process. To achieve this goal, the current paper suggests a variety of novel Bonferroni Mean and Weighted Bonferroni Mean operators to aggregate the SR-Fuzzy values for the various decision-maker preferences. SR-Fuzzy Bonferroni Mean (SRFBM) operator and weighted SR-Fuzzy Bonferroni Mean (WSRFBM) operator are established and describes their properties. Then, we construct a MADM approach using the proposed operators for the SR-Fuzzy information and proved the approach with a mathematical example. In the end, a comparative study of the developed and existing approaches has been discussed to evaluate the pertinency and practicality of the proposed DM technique.

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“…This section recalls SR-fuzzy sets introduced by [50]. Additionally, some related notions have also been reviewed here.…”

Section: Preliminariesmentioning

confidence: 99%

“…The following comparison is proposed by Al-Shami et al [50] to compare two SRFNs, particularly in the field of MADM problems.…”

Section: Definitionmentioning

confidence: 99%

Section: Comparative Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Radenović

Ali

Shaheen

et al. 2022

JCCE

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“…The notion of q-rung orthopair fuzzy sets were developed by Yager [27], and they are more likely to be employed in uncertain scenarios than other types of fuzzy sets due of their wider range of depicting membership grades. Al-shami et al [1] introduced a new type of fuzzy set known as the SR-Fuzzy set and studied its attributes in depth. Ibrahim et al.…”

Section: Introductionmentioning

confidence: 99%

n,m^th Power Root Fuzzy Set and Its Applications to Topology and Decision-Making

Saeed

Ibrahim

2022

IEEE Access

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One of the most helpful fuzzy set extensions for dealing with information uncertainties is an n th power root fuzzy set. In light of this, in this paper, we define an n,m th power root fuzzy set, which is a new type of fuzzy set extension and introduce their relationship with n-rung orthopair fuzzy set, n th power root fuzzy set and n,m-rung orthopair fuzzy set. There is a symmetry between the values of this membership and non-membership functions. To broaden the scope of the decision-making problems, any power function scales are used here. When disputing the symmetry between two or more objects, the innovative concept of an n,m th power root fuzzy set over dual universes is more flexible than the current notion of an intuitionistic fuzzy set, as well as Pythagorean fuzzy set. Then, for the n,m th power root fuzzy sets, we present the essential set of operations as well as their varied characteristics. In addition, we develop the idea of n,m th power root fuzzy topology and study its fundamental properties. Furthermore, we describe the concept of disconnected n,m th power root fuzzy sets after introducing separated n,m th power root fuzzy sets. Moreover, we thoroughly investigate and characterize n,m th power root fuzzy continuous maps. Also we build T 0 and T 1 in n,m th power root fuzzy topology and find their connections. Finally, we construct a new concept of relation in n,m th power root fuzzy set, and based on sufficient experience, we provide the candidate's decision-making technique via the proposed relation to determine the suitability of companies to applicants.

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Generalized hesitant fuzzy numbers and their application in solving MADM problems based on TOPSIS method

Keikha

2022

Soft Comput

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SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Cited by 42 publications

References 30 publications

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

n,m^th Power Root Fuzzy Set and Its Applications to Topology and Decision-Making

Generalized hesitant fuzzy numbers and their application in solving MADM problems based on TOPSIS method

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SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making

Cited by 42 publications

References 30 publications

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

n,m th Power Root Fuzzy Set and Its Applications to Topology and Decision-Making

Generalized hesitant fuzzy numbers and their application in solving MADM problems based on TOPSIS method

Contact Info

Product

Resources

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n,m^th Power Root Fuzzy Set and Its Applications to Topology and Decision-Making