Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs
A hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be create...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/6045358 |
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| author | P. M. Dhanya A. Sreekumar M. Jathavedan P. B. Ramkumar |
| author_facet | P. M. Dhanya A. Sreekumar M. Jathavedan P. B. Ramkumar |
| author_sort | P. M. Dhanya |
| collection | DOAJ |
| description | A hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be created by applying morphological operators like dilation, erosion, adjunction, etc. The focus of this paper is to define morphological adjunction, opening, closing, and Alternative Sequential Filter (ASF) on IFHG. The system modeled in this way finds application in text processing, image processing, network analysis, and many other areas. |
| format | Article |
| id | doaj-art-21a77a07dce5462a82c275d11efa6d9e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-21a77a07dce5462a82c275d11efa6d9e2025-02-03T07:24:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/60453586045358Metric Induced Morphological Operators on Intuitionistic Fuzzy HypergraphsP. M. Dhanya0A. Sreekumar1M. Jathavedan2P. B. Ramkumar3Department of Computer Applications, Cochin University of Science and Technology, Kochi, IndiaDepartment of Computer Applications, CUSAT, Kochi, IndiaDepartment of Computer Applications, CUSAT, Kochi, IndiaDepartment of Basic Sciences and Humanities, Rajagiri School of Engineering and Technology, Kochi, IndiaA hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be created by applying morphological operators like dilation, erosion, adjunction, etc. The focus of this paper is to define morphological adjunction, opening, closing, and Alternative Sequential Filter (ASF) on IFHG. The system modeled in this way finds application in text processing, image processing, network analysis, and many other areas.http://dx.doi.org/10.1155/2018/6045358 |
| spellingShingle | P. M. Dhanya A. Sreekumar M. Jathavedan P. B. Ramkumar Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs International Journal of Mathematics and Mathematical Sciences |
| title | Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs |
| title_full | Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs |
| title_fullStr | Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs |
| title_full_unstemmed | Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs |
| title_short | Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs |
| title_sort | metric induced morphological operators on intuitionistic fuzzy hypergraphs |
| url | http://dx.doi.org/10.1155/2018/6045358 |
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