NEW SIMILARITY MEASURES OF INTERVAL VALUED FUZZY SOFT SET AND ITS APPLICATION
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Abstract
In this paper, we proposed the concept of reduced fuzzy soft set of interval valued fuzzy soft set and also defined different types of reduction along with it. Then based on these reduction, three types of similarity measures are done with example .Also we developed  an algorithm which is a new approach in the medical diagnosis field by employing reduced fuzzy soft set of interval valued fuzzy soft set.
Keywords: Soft set, fuzzy soft set, interval valued fuzzy soft set, reduced fuzzy soft set.
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Anjan Mukeherjee, Sadhan Sarkar,â€Similarity measures of interval valued fuzzy soft sets and their application in decision making problemsâ€, Annals of fuzzy mathematics and informatics,(in press).
Atanassov. K, Intuitionistic fuzzy sets, Fuzzy sets and systems20(1),1986,87-96.
Atanassov, K. Intuitionistic fuzzy sets,Physica-verlag,Heidelberg,Newyork,1999.
Atanassov.K, Gargov G., Interval valued Intuitionistic fuzzy sets, Fuzzy sets and systems3(1),1989,343-349.
Borah.M.J,Neog.T.J and D.K.Sut.2012.†Fuzzy soft matrix theory and its Decision making†International Journal of Modern Engineering Research, VOL2,pp:121-127.
Cagman.N and I. Deli.2013†New similarity measures of intuitionistic Fuzzy soft sets and their decision makingâ€arXiv:1301.0456v1[math.LO].
Chetia.B,Das.P.K.,2012.â€Some results of Intuitionistic Fuzzy soft matrix theory “Advances in Applied science Research,3(1):412-423.
Dusmanta Kumar Sut,â€An Application of Similarity of Fuzzy Soft sets in Decision Makingâ€Int.J.Computer Technology & Applications,Vol3(2),2012,742-745.
Feng.Q,Zheng.W,2013,†New similarity measures of Fuzzy soft sets based on distance “Annals of fuzzy mathematics and informatics,(in press)
Majumder.P and Samantha.S.K,†Similarity Measure of Soft Setsâ€,New mathematics and Natural computations,4(1),2008,1-12.
Majumder.P and Samantha.S.K,â€On Similarity Measure of Fuzzy Soft Setsâ€,International Journal of Advance Soft Computing and Applications,vol.3,No.2,July 2011
Majumder.P and Samantha.S.K,â€On distance based Similarity Measure between intuitionistic Fuzzy Soft Setsâ€,Anusandhan,12(22),2010,41-50.
Majumdar,P.,Samantha,S.K.â€Generalised fuzzy soft sets†Computers and Mathematics with applicatios 59, 2010,pp:1425-1432.
Maji P.K,Biswas R .and Roy A.R. 2003..â€Soft set theoryâ€, Computers and Mathematics with Applications,45(4-5):pp 555-562
.Maji P.K,Biswas R .and Roy A.R. 2001.â€Fuzzy Soft Setsâ€. The Journal of Fuzzy Mathematics, 9(3):pp 589- 602.
Maji,P.K.,Biswas,R.,Roy.A.R.,â€Intuitionistic Fuzzy soft setsâ€, The Journal of fuzzy mathematics, 12, 2004pp:669-683.
Molodtsov D.â€Soft set theory-first resultâ€, Computers and Mathematics with Applications,37(4-5): 1999 pp ; 19-31.
Tridiv Jyoti Neog,Dusmanta Kumar Sut.2011.â€An Application of Fuzzy soft sets in Decision making problems using fuzzy soft matrices†International Journal of Mathematical Archive,pp:2258-2263.
Rajarajeswari.P,Dhanalakshmi.P.2013†Intuitionistic Fuzzy Soft Matrix Theory And Its Application in decision making’International Journal of Engineering Research & Technology,2(4),1100-1111.
Rajarajeswari.P,Dhanalakshmi.P.2013†An Application of similarity measure of Fuzzy soft set in Medical diagnosis’Global Journal of theoretical and applied mathematical sciences,3(1),1-6.
Rajarajeswari.P,Dhanalakshmi.P.2012†An Application of similarity measure of Fuzzy soft set based on distance’IOSR Journal of mathematics,4(4),27-30.
Rajarajeswari.P,Dhanalakshmi.P.2014†Intuitionistic Fuzzy Soft Matrix Theory And Its Application in Medical diagnosis’ Annals of fuzzy mathematics and informatics,7(5),765-772.
Rajarajeswari.P,Dhanalakshmi.P, Interval valued Intuitionistic Fuzzy Soft Matrix Theory, International Journal of Mathematical Archive, 5(1)2014,152-161.
Rajarajeswari.P,Dhanalakshmi.P, “Similarity Measures of Intuitionistic Fuzzy Soft set and their
application in medical diagnosis", International Journal of Mathematical Archive, 5(5)2014,1-7.
Rajarajeswari.P,Dhanalakshmi.P, An Application of interval valued Intuitionistic Fuzzy Soft Matrix Theory in Medical diagnosis, Annals of fuzzy mathematics and informatics,(in press).
Yang.X.B,Lin.T.Y.Yang.J.Y,Li.Y,Yu.D,Combination of interval-valued fuzzy set and soft set, Computers and Mathematics with applicatios 58(3),2009,pp:521-527.
Yong Yang and Chenli Ji., 2011.â€Fuzzy soft matrices and their applications “partI, LNAI 7002,pp:618-627.
Zadeh, L.A†Fuzzy setsâ€, Information and control,8(1985),338-353