A Novel MADM Framework under q-Rung Orthopair Fuzzy Bipolar Soft Sets

Ali, Ghous; Alolaiyan, Hanan; Pamučar, Dragan; Asif, Muhammad; Lateef, Nimra

doi:10.3390/math9172163

Cited by 22 publications

(12 citation statements)

References 34 publications

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“…3. Models based on BSSs [46] like BSESs [47], FBSESs [48] and qROFBSSs [50] efficiently differentiate between the bipolar decision-parameters, however all these models fail to consider the degree of neutrality when solving uncertain problems. 4.…”

Section: Motivations and Contributionsmentioning

confidence: 99%

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Multi-Attribute Group Decision-Making Method under Spherical Fuzzy Bipolar Soft Expert Framework with Its Application

Al-Shamiri¹,

Ali²,

Abidin³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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Spherical fuzzy soft expert set (SFSES) theory blends the perks of spherical fuzzy sets and group decision-making into a unified approach. It allows solutions to highly complicated uncertainties and ambiguities under the unbiased supervision and group decision-making of multiple experts. However, SFSES theory has some deficiencies such as the inability to interpret and portray the bipolarity of decision-parameters. This work highlights and overcomes these limitations by introducing the novel spherical fuzzy bipolar soft expert sets (SFBSESs) as a powerful hybridization of spherical fuzzy set theory with bipolar soft expert sets (BSESs). Followed by the development of certain set-theoretic operations and properties of the proposed model, important problems, including the selection of non-powered dam (NPD) sites for hydropower conversion are discussed and solved under the proposed approach. These problems mainly focus on the need for an efficient tool capable of considering the bipolarity of parameters, complicated ambiguities, and multiple opinions. Supporting the new approach by a detailed comparative analysis, it is concluded that the proposed model is more comprehensive and reliable for multi-attribute group decisionmaking (MAGDM) than the previous tools, particularly considering the bipolarity of parameters under SFSES environment.

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Section: Motivations and Contributionsmentioning

confidence: 99%

“…Recently, Ali et al [49] ranked the fish passage designs for a hydropower project based on spherical fuzzy-BSSs (SFBSSs). Many other models based on BSSs came out in the recent years, e.g., q-rung orthopair fuzzy BSSs (qROFBSSs) [50]. Table 1 provides the list of abbreviations used in the paper.…”

Section: Introductionmentioning

confidence: 99%

Multi-Attribute Group Decision-Making Method under Spherical Fuzzy Bipolar Soft Expert Framework with Its Application

Al-Shamiri¹,

Ali²,

Abidin³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…In order to deal with these complex problems, the MAGDM method can sort and adopt the superlative alternative from a set of complicated options [ 4 ]. Zadeh suggested fuzzy set to solve MAGDM problems in order to decrease information loss and increase assessment accuracy [ 5 ]. However, main limitation of fuzzy set is that it can’t handle complex fuzzy information adequately because its membership limit is only one value.…”

Section: Introductionmentioning

confidence: 99%

Multivalued neutrosophic power partitioned Hamy mean operators and their application in MAGDM

Wang

Tian

et al. 2023

PLoS ONE

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The novel multivalued neutrosophic aggregation operators are proposed in this paper to handle the complicated decision-making situations with correlation between specific information and partitioned parameters at the same time, which are based on weighted power partitioned Hamy mean (WMNPPHAM) operators for multivalued neutrosophic sets (MNS) proposed by combining the Power Average and Hamy operators. Firstly, the power partitioned Hamy mean (PPHAM) is capable of capture the correlation between aggregation parameters and the relationship among attributes dividing several parts, where the attributes are dependent definitely within the interchangeable fragment, other attributes in divergent sections are irrelevant. Secondly, because MNS can effectively represent imprecise, insufficient, and uncertain information, we proposed the multivalued neutrosophic PMHAM (WMNPHAM) operator for MNS and its partitioned variant (WMNPPHAM) with the characteristics and examples. Finally, this multiple attribute group decision making (MAGDM) technique is proven to be feasible by comparing with the existing methods to confirm this method’s usefulness and validity.

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“…Ali et al [29] protracted the idea of q-rung orthopair fuzzy bipolar soft sets and established a MADM approach to choose the most competent student for the scholarship award. Maji et al [30] proposed FSS by merging SS and FS.…”

Section: Introductionmentioning

confidence: 99%

Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set

et al. 2022

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The q-rung orthopair fuzzy soft set is an advanced leeway of orthopair fuzzy sets, such as intuitionistic fuzzy soft set (IFSS) and Pythagorean fuzzy soft set (PFSS). The very lax requirement gives the evaluators excessive freedom to express their beliefs about membership degrees and non-membership degrees, making q-rung orthopair fuzzy soft set (q-ROFSS) have a broad scope of application in practical life. Considering the interaction, this paper will develop some novel operational laws for q-rung orthopair fuzzy soft numbers (q-ROFSNs). Some aggregation operators (AOs) such as q-rung orthopair fuzzy soft interactive weighted average (q-ROFSIWA) and q-rung orthopair fuzzy soft interactive weighted geometric (q-ROFSIWG) operators have been introduced. Also, we will prove some desirable properties such as idempotency, boundedness, and homogeneity for q-ROFSIWA and q-ROFSIWG operators. Multi-criteria decision-making (MCDM) plays a vital role to deals with the complications in manufacturing design for material selection. But, the prevailing MCDM methods habitually deliver incompatible outcomes. Based on the projected interactive aggregation operators, a robust MCDM method is planned for material selection in manufacturing design to accommodate this drawback. Furthermore, a comprehensive comparative analysis has been presented to confirm the pragmatism and validity of the proposed technique with some already available methods. The obtained outcomes through comparative studies show that our developed method is more efficient than existing approaches.

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A Novel MADM Framework under q-Rung Orthopair Fuzzy Bipolar Soft Sets

Cited by 22 publications

References 34 publications

Multi-Attribute Group Decision-Making Method under Spherical Fuzzy Bipolar Soft Expert Framework with Its Application

Multi-Attribute Group Decision-Making Method under Spherical Fuzzy Bipolar Soft Expert Framework with Its Application

Multivalued neutrosophic power partitioned Hamy mean operators and their application in MAGDM

Novel Multicriteria Decision Making Approach for Interactive Aggregation Operators of q-Rung Orthopair Fuzzy Soft Set

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