Sugeno–Weber triangular norm-based aggregation operators under T-spherical fuzzy hypersoft context

Sarkar, Arun; Senapati, Tapan; Jin, LeSheng; Mesiar, Radko; Biswas, Animesh; Yager, Ronald R.

doi:10.1016/j.ins.2023.119305

Cited by 22 publications

(4 citation statements)

References 38 publications

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“…Moreover, we examined our proposed research work having a lot of advantages, but some time decision-maker faces multichallenges to find out the solution of the real life application. To serve this such situaitons, we will explore our proposed research work in different fuzzy domains like bipolar complex fuzzy theory [34], Farmatean fuzzy sets [35], bipolar soft set [36] and t-shperical fuzzy hyper soft theory [37]. Furthermore, we will try to resolve some crucial real-life applications such as artificial intelligence, machine learning, and clustering analysis, because these applications are very valuable and feasible nowadays.…”

Section: Discussionmentioning

confidence: 99%

Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems

Al-Qubati,

Zedam,

Ullah

et al. 2024

IEEE Access

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Social and economic factors, such as education, employment, social support, income, and community safety, can directly affect how well and long we live. Under the presence of the above factors, we easily look at health decisions, afford medical care and housing, manage stress, and so on. In this analysis, we derive the Choquet-integral aggregation operators based on Hamacher t-norm and t-conorm for complex Atanassov intuitionistic fuzzy (CAIF) such as CAIF Choquet-integral Hamacher averaging (CAIFCIHA), CAIF Choquet-integral Hamacher ordered averaging (CAIFCIHOA), CAIF Choquet-integral Hamacher geometric (CAIFCIHG), CAIF Choquet-integral Hamacher ordered geometric (CAIFCIHOG) operators and exposed their properties. Additionally, we discover the Technique for Order Preference by Similarity to the Ideal Solution "TOPSIS" technique under the consideration of the above-derived theory. Moreover, it is very famous and interesting to note that various unpredicted factors such as road, diesel prices, weather, and traffic conditions affect the cost of transportation. Therefore, decision-makers deal with vague and unreliable information to estimate the cost of transportation. To evaluate the above problem, we select a transportation problem with CAIF parameters, and for its evaluation, a simple and well-known computational technique is derived and illustrated. Finally, we compared our derived results with some prevailing results to show the worth and reliability of the exposed approaches.INDEX TERMS Complex intuitionistic fuzzy sets; Choquet-integral aggregation operators; Hamacher tnorm and t-conorm; TOPSIS technique; Socio-Economic problems.

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Section: Discussionmentioning

confidence: 99%

Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems

Al-Qubati,

Zedam,

Ullah

et al. 2024

IEEE Access

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“…By expanding the scope of their application and considering different domains, we can assess the generalizability and effectiveness of the proposed operators. It is essential to apply these NAOs to various real life problems [51]- [54] under the framework of interval-valued spherical fuzzy sets (IVSFSs), T-spherical fuzzy hypersoft context [55], [56] complex spherical fuzzy sets [57], thus expanding their applicability and relevance.…”

Section: Discussionmentioning

confidence: 99%

An Approach to Multi-Attribute Decision-Making for Olive Trees Plantation Site Selection Using Spherical Fuzzy Neutrality Aggregation Operators

Javed,

Javeed,

Ullah

et al. 2023

IEEE Access

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We introduce the concept of spherical fuzzy neutral aggregation operators by utilizing neutral addition and scalar multiplication operational laws. Spherical fuzzy set (SFS) is an effective tool for handling cognitive uncertainty in decision-making (DMg), and neutral operations are particularly useful for capturing the biased preferences of decision-makers (DMs). In this context, the primary aim of this study is to innovate novel operational laws and their associated aggregation operators. Therefore, the main contribution of this manuscript is the development of several neutral aggregation operators (NAOs) based on SFS, including the spherical fuzzy weighted neutral aggregation (SFWNA) operator, the spherical fuzzy ordered weighted neutral aggregation (SFOWNA) operator, and the spherical fuzzy hybrid neutral aggregation (SFHNA) operator. These NAOs are specifically designed for the multi-attribute group decision-making (MAGDM) algorithm. In order to showcase the efficacy of the proposed algorithm, we implemented it in the context of selecting a suitable site for an olive tree plantation in the Punjab province of Pakistan. The algorithm successfully evaluated various plantation locations (alternatives) based on the considered criteria. The results illustrate the flexibility, consideration of the interaction of coefficients, desirable characteristics, applicability to MAGDM, and effectiveness of the proposed AOs and DMg scheme. These outcomes provide valuable insights into the advantages and potential impact of this novel approach in addressing real-world problems within a fuzzy environment. Finally, the obtained results were compared with several existing techniques, confirming that the suggested method produces valid and reliable outcomes.INDEX TERMS Spherical fuzzy sets; Neutrality laws; Aggregation operators; multi-attribute group decisionmaking problems. I.

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“…Their subsequent work delved into the topological structures associated with BHS sets [41,42]. The exploration of core principles, properties, and operations of HS sets and their extensions has been the focus of extensive investigations [43][44][45][46][47].…”

Section: Related Workmentioning

confidence: 99%

A progressive approach to multi-criteria group decision-making: N-bipolar hypersoft topology perspective

Musa,

Asaad

2024

PLoS ONE

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This paper investigates N-bipolar hypersoft topology (N-BHST), a novel extension of both the well-established N-hypersoft topology (N-HST) and hypersoft topology (HST). Deviating significantly from its precursor, the N-bipolar hypersoft (N-BHS) set, N-BHST introduces a multi-opinion approach to decision-making, augmenting robustness and adaptability. This innovative framework addresses identified limitations in N-bipolar soft topology (N-BST), especially in managing multi-argument approximate functions. The study analyzes various operators (closure, interior, exterior, and boundary) within the N-BHST framework, elucidating their interrelationships. Additionally, an examination is carried out on the enhancement of multi-criteria group decision-making (MCGDM) using N-BHST, setting it apart from existing models. A numerical example is presented to illustrate its application in real-world decision scenarios.

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Sugeno–Weber triangular norm-based aggregation operators under T-spherical fuzzy hypersoft context

Cited by 22 publications

References 38 publications

Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems

Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems

An Approach to Multi-Attribute Decision-Making for Olive Trees Plantation Site Selection Using Spherical Fuzzy Neutrality Aggregation Operators

A progressive approach to multi-criteria group decision-making: N-bipolar hypersoft topology perspective

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