A note on operations of intuitionistic fuzzy soft sets
In this article, it an achievement for our part to be had of notions of a few operations on intuitionistic fuzzy soft sets and generalization of De Morgan's laws with respect to some operations in intuitionistic fuzzy soft set theory\,. It is being validated by suitable example. Thereafter pro...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2013-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3048_2430e3630e133c04ca53f83560edeb88.pdf |
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| author | Jayanta Ghosh T. K. Samanta Sankar Kumar Roy |
| author_facet | Jayanta Ghosh T. K. Samanta Sankar Kumar Roy |
| author_sort | Jayanta Ghosh |
| collection | DOAJ |
| description | In this article, it an achievement for our part to be had of notions of a few operations on intuitionistic fuzzy soft sets and generalization of De Morgan's laws with respect to some operations in intuitionistic fuzzy soft set theory\,. It is being validated by suitable example.
Thereafter properties like associative, distributive relative to different operations on intuitionistic fuzzy soft set are established and justified by suitable example\,. It is shown that restricted symmetric difference operation does not satisfy associative and restricted intersection does not distribute over restricted symmetric difference in intuitionistic fuzzy soft set theory. |
| format | Article |
| id | doaj-art-fa8b0f249cdb4e14ab8ee85ed9321cbc |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2013-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-fa8b0f249cdb4e14ab8ee85ed9321cbc2025-08-20T03:28:58ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662013-12-012216318410.22098/jhs.2013.30483048A note on operations of intuitionistic fuzzy soft setsJayanta Ghosh0T. K. Samanta1Sankar Kumar Roy2DEPARTMENT OF MATHEMATICS,_x000D_ MANICKPUR ADARSHA VIDYAPITH,_x000D_ DELTAMILL, SANKRAIL, HOWRAH-711309,_x000D_ WEST BENGAL, INDIADepartment of Mathematics, Uluberia College, Uluberia, Howrah{711315, West Bengal, India.Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India.In this article, it an achievement for our part to be had of notions of a few operations on intuitionistic fuzzy soft sets and generalization of De Morgan's laws with respect to some operations in intuitionistic fuzzy soft set theory\,. It is being validated by suitable example. Thereafter properties like associative, distributive relative to different operations on intuitionistic fuzzy soft set are established and justified by suitable example\,. It is shown that restricted symmetric difference operation does not satisfy associative and restricted intersection does not distribute over restricted symmetric difference in intuitionistic fuzzy soft set theory.https://jhs.uma.ac.ir/article_3048_2430e3630e133c04ca53f83560edeb88.pdfintuitionistic fuzzy soft setrestricted (extended) unionintersection of intuitionistic fuzzy soft setsrestricted (extended) differencerestricted symmetric difference of intuitionistic fuzzy soft sets |
| spellingShingle | Jayanta Ghosh T. K. Samanta Sankar Kumar Roy A note on operations of intuitionistic fuzzy soft sets Journal of Hyperstructures intuitionistic fuzzy soft set restricted (extended) union intersection of intuitionistic fuzzy soft sets restricted (extended) difference restricted symmetric difference of intuitionistic fuzzy soft sets |
| title | A note on operations of intuitionistic fuzzy soft sets |
| title_full | A note on operations of intuitionistic fuzzy soft sets |
| title_fullStr | A note on operations of intuitionistic fuzzy soft sets |
| title_full_unstemmed | A note on operations of intuitionistic fuzzy soft sets |
| title_short | A note on operations of intuitionistic fuzzy soft sets |
| title_sort | note on operations of intuitionistic fuzzy soft sets |
| topic | intuitionistic fuzzy soft set restricted (extended) union intersection of intuitionistic fuzzy soft sets restricted (extended) difference restricted symmetric difference of intuitionistic fuzzy soft sets |
| url | https://jhs.uma.ac.ir/article_3048_2430e3630e133c04ca53f83560edeb88.pdf |
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