Maximal and minimal neighborhoods of rough fuzzy sets
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It has a comment on two patterns of generalizations of the roughness of some fuzzy set. The authors in 2022, based on the minimal neighborhoods of rough fuzzy sets, introduced a generalization of rough fuzzy sets. This paper will be used maximal neighborhoods in defining a new generalization of rough fuzzy sets in a pattern similar to this generalization introduced by the authors in 2022. Mainly, it is shown that the new boundary region set computed using maximal neighborhoods does not depend on that set computed using minimal neighborhoods as given by the authors in 2022. As an application, it is shown that the connectedness of rough fuzzy topological spaces could be defined using maximal neighborhoods. Still, this connectedness is not related to the connectedness expressed by the authors in 2022 using minimal neighborhoods.
Abstract
It has a comment on two patterns of generalizations of the roughness of some fuzzy set. The authors in 2022, based on the minimal neighborhoods of rough fuzzy sets, introduced a generalization of rough fuzzy sets. This paper will be used maximal neighborhoods in defining a new generalization of rough fuzzy sets in a pattern similar to this generalization introduced by the authors in 2022. Mainly, it is shown that the new boundary region set computed using maximal neighborhoods does not depend on that set computed using minimal neighborhoods as given by the authors in 2022. As an application, it is shown that the connectedness of rough fuzzy topological spaces could be defined using maximal neighborhoods. Still, this connectedness is not related to the connectedness expressed by the authors in 2022 using minimal neighborhoods.
참고문헌 (22)
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