Minkowski difference for fuzzy sets and applications
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Abstract (EN)
In this article, we remind the definitions about crisp sets, the definition of fuzzy sets and some properties of fuzzy sets. We give a new Minkowski difference definition for fuzzy sets by adapting the geometry of the Minkowski difference for crisp sets. We prove some algebraic properties of this new fuzzy Minkowski difference. At the end of the article, we present some illustrative geometric examples on the calculation of fuzzy Minkowski difference. We defined the fuzzy m_1 relation with the help of fuzzy Minkowski difference definition and fuzzy cone. We have shown that the defined fuzzy m_1 relation also provides some of the same properties.
Author
Mehmet Özşimşek
How to Cite
Mehmet Özşimşek (Master Thesis). Minkowski difference for fuzzy sets and applications, 2024, Uşak University.
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