One of the purposes of fuzzy set theory is to overcome the uncertainties in the problems of multi-criteria decision-making (MCDM) via membership functions. But the fuzzy set theory has own limitations. To remove the limitations on membership functions of
Ali Aydogdu
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An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the ...
K. M. Abirami +3 more
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The notion of linear Diophantine fuzzy sets (LD-FSs) is a novel mechanism to combat uncertainties in decision analysis. Due to reference parameters associated with membership grade (MG) and non-membership grade (NMG), LD-FS is more efficient and reliable
Saba Ayub +5 more
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During the COVID-19 pandemic, identifying face masks with artificial intelligence was a crucial challenge for decision support systems. To address this challenge, we propose a quadratic Diophantine fuzzy decision-making model to rank artificial ...
Muhammad Danish Zia +5 more
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The theory of spherical linear Diophantine fuzzy sets (SLDFS) boasts several advantages over existing fuzzy set (FS) theories such as Picture fuzzy sets (PFS), spherical fuzzy sets (SFS), and T-spherical fuzzy sets (T-SFS).
Mani Parimala, Saeid Jafari
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Development of Aczel-Alsina t-norm based linear Diophantine fuzzy aggregation operators and their applications in multi-criteria decision-making with unknown weight information [PDF]
Aczel-Alsina t-norm and t-conorm are intrinsically flexible and endow Aczel-Alsina aggregation operators with greater versatility and robustness in the aggregation process than operators rooted in other t-norms and t-conorm families. Moreover, the linear
Rizwan Gul +4 more
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Hybrid decision support system disaster management: application of lattice ordered q-rung linear Diophantine fuzzy hypersoft sets. [PDF]
Vimala J +5 more
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Decision-Making Problems under the Environment of m-Polar Diophantine Neutrosophic N-Soft Set [PDF]
Shouzhen Zeng +4 more
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Complex linear Diophantine fuzzy Dombi prioritized operators-based MULTIMOORA approach with applications to sustainable energy planning [PDF]
Sustainable energy planning is a critical challenge, particularly in regions with complex decision-making environments and uncertain data. The selection of an optimal energy source requires robust methodologies that can effectively handle multi-criteria ...
Abdul Wahab Mustafa +3 more
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Correlation coefficient measures and aggregation operators on interval-valued linear Diophantine fuzzy sets and their applications [PDF]
Petchimuthu S, Riaz M, Kamacı H.
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