ScholarLens Back to search
2010•Unpublished venueRequires access

Some Results on IF Generalized Minimal Closed Set

Sharmistha Bhattacharya

Open publisher page 1 citations

Abstract

The purpose of this paper is to introduce the new concept of IF generalized minimal closed set which implies IF generalized closed set. Then another concept of IF generalized * minimal closed set is introduced which is not coinciding with IF dense set, while other IF generalized * closed set concept are coinciding with the corresponding dense set. It can also be shown that this new structure is a weaker form of intuitionistic fuzzy minimal open set. The various properties of this newly formed set are studied and the corresponding topological structure is discussed in this paper. It is to be noticed that the collection of IF generalized minimal closed set forms an Alexandroff space if X is included but the collection of IF generalized*minimal closed set doesn’t forms a supra topological space . Also the connection of this set with some other sets is studied in this paper. Mathematics Subject Classification: 54A40, 54A99, 03F55

About this research paper

What this paper is about

The purpose of this paper is to introduce the new concept of IF generalized minimal closed set which implies IF generalized closed set. Then another concept of IF generalized * minimal closed set is introduced which is not coinciding with IF dense set, while other IF generalized * closed set concept are coinciding with the corresponding dense set. It can also be shown that this new structure is a weaker form of intuitionistic fuzzy minimal open set. The various properties of this newly formed set are studied and the corresponding topological structure is discussed in this paper. It is to be noticed that the collection of IF generalized minimal closed set forms an Alexandroff space if X is included but the collection of IF generalized*minimal closed set doesn’t forms a supra topological space . Also the connection of this set with some other sets is studied in this paper. Mathematics Subject Classification: 54A40, 54A99, 03F55

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The purpose of this paper is to introduce the new concept of IF generalized minimal closed set which implies IF generalized closed set. Then another concept of IF generalized * minimal closed set is introduced which is not coinciding with IF dense set, while other IF generalized * closed set concept are coinciding with the corresponding dense set. It can also be shown that this new structure is a weaker form of intuitionistic fuzzy minimal open set. The various properties of this newly formed set are studied and the corresponding topological structure is discussed in this paper. It is to be noticed that the collection of IF generalized minimal closed set forms an Alexandroff space if X is included but the collection of IF generalized*minimal closed set doesn’t forms a supra topological space . Also the connection of this set with some other sets is studied in this paper. Mathematics Subject Classification: 54A40, 54A99, 03F55

Key concepts: Closed set, Mathematics, Set (abstract data type), Open set, Topological space, Space (punctuation), Open and closed maps, Set function

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Some Results on IF Generalized Minimal Closed Set — Research Paper | ScholarLens