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A note on operations of intuitionistic fuzzy soft sets | ||
| Journal of Hyperstructures | ||
| دوره 2، شماره 2، اسفند 2013، صفحه 163-184 اصل مقاله (137.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2013.3048 | ||
| نویسندگان | ||
| Jayanta Ghosh* 1؛ T. K. Samanta2؛ Sankar Kumar Roy3 | ||
| 1DEPARTMENT OF MATHEMATICS,_x000D_ MANICKPUR ADARSHA VIDYAPITH,_x000D_ DELTAMILL, SANKRAIL, HOWRAH-711309,_x000D_ WEST BENGAL, INDIA | ||
| 2Department of Mathematics, Uluberia College, Uluberia, Howrah{711315, West Bengal, India. | ||
| 3Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Intuitionistic fuzzy soft set؛ Restricted (extended) union؛ intersection of intuitionistic fuzzy soft sets؛ Restricted (extended) difference؛ Restricted symmetric difference of intuitionistic fuzzy soft sets | ||
| مراجع | ||
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[1] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96. [2] M. I. Ali, F. Feng and X. Liu, W. K. Min, On some new operations in soft set theory, Comput. Math. Appl., 57(9) (2009), 1547-1553. [3] Bivas Dinda, T. K. Samanta, Relations on Intuitionistic Fuzzy Soft Sets, Gen. Math. Notes, 1(2) (2010), 73-80. [4] D. Molodtsov, Soft Set Theory - First Results, Comput. Math. Appl., 37 (1999), 19-31. [5] P.K.Maji, R.Biswas, A.R.Roy, Intuitionistic fuzzy soft sets, J. Fuzzy Math., 9(3) (2001), 677-692. [6] P.K.Maji, A.R.Roy, On Intuitionistic fuzzy soft sets, J. Fuzzy Math., 12(3) (2004), 669-683. [7] P.K.Maji, R.Biswas, A.R.Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562. [8] A. Sezgin, A. O. Atagun, On operations of soft sets, Comput. Math. Appl., 61 (2011) 1457-1467. [9] L.A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965) 338-353. | ||
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