2022
DOI: 10.3390/math10132178
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Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups

Abstract: The combination of two elements in a group structure is an element, while, in a hypergroup, the combination of two elements is a non-empty set. The use of hypergroups appears mainly in certain subclasses. For instance, polygroups, which are a special subcategory of hypergroups, are used in many branches of mathematics and basic sciences. On the other hand, in a multi-fuzzy set, an element of a universal set may occur more than once with possibly the same or different membership values. A soft set over a univer… Show more

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Cited by 6 publications
(2 citation statements)
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“…In order to process the ambiguity and complexity of the attributes, the FS [ 1 ] is presented which is an effective tool to express the uncertain information. Now, the FS theory has a lot of applications in various fields, for example, employment selection (doctors and nurses) during the COVID-19 pandemic [ 2 ], designing different clothes with the help of fuzzy superior mandelbrot set [ 3 ], business analysis and management research [ 4 ], data-driven modeling in manifolds based on the FS theory [ 5 ], environmental uncertainty and digital transformation for fuzzy information [ 6 ], N-soft set under the consideration of multi-agent preferences and their operators [ 7 ], the algebraic structure of multi-fuzzy soft information [ 8 ], multi q-fuzzy soft expert information [ 9 ], strategic decision-making analysis based on fuzzy N-soft expert information [ 10 ], and treatment decision of lung cancer with the help of fuzzy information [ 11 ].…”
Section: Introductionmentioning
confidence: 99%
“…In order to process the ambiguity and complexity of the attributes, the FS [ 1 ] is presented which is an effective tool to express the uncertain information. Now, the FS theory has a lot of applications in various fields, for example, employment selection (doctors and nurses) during the COVID-19 pandemic [ 2 ], designing different clothes with the help of fuzzy superior mandelbrot set [ 3 ], business analysis and management research [ 4 ], data-driven modeling in manifolds based on the FS theory [ 5 ], environmental uncertainty and digital transformation for fuzzy information [ 6 ], N-soft set under the consideration of multi-agent preferences and their operators [ 7 ], the algebraic structure of multi-fuzzy soft information [ 8 ], multi q-fuzzy soft expert information [ 9 ], strategic decision-making analysis based on fuzzy N-soft expert information [ 10 ], and treatment decision of lung cancer with the help of fuzzy information [ 11 ].…”
Section: Introductionmentioning
confidence: 99%
“…Since polygroups have also recently been studied in relation to soft sets [42], it is worth developing the theory of soft HX-groups [43] and its extension to soft HX-polygroups.…”
mentioning
confidence: 99%