A New Similarity Measure of Interval-Valued Intuitionistic Fuzzy Sets and its Application in Commodity Recommendation


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Similarity measures are used to measure the similarity degree between fuzzy sets. As an important content in fuzzy mathematics, similarity measure has been used in various fields such as pattern recognitions, multi-criteria fuzzy decision making and medical diagnosis. However, in terms of the existing measure similarity measures, they don’t consider the hesitancy of the fuzzy sets. Accordingly we propose a new similarity measure and prove that it is much more reasonable comparing with the previous similarity measure in the examples. Besides, we also apply it into the commodity recommendation
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Interval-Valued Intuitionistic Fuzzy Set; Similarity Measure; Fuzzy Set; Commodity Recommendation

Full Text:

PDF


References


L. A. Zadeh, Fuzzy sets, Information and control, vol. 8 n. 3, June 1965, pp. 338-353.
http://dx.doi.org/10.1016/s0019-9958(65)90241-x

Y. Li, D. L. Olson, Z. Qin, Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis, Pattern Recognition Letters, vol. 28 n. 2, January 2007, pp. 278-285.
http://dx.doi.org/10.1016/j.patrec.2006.07.009

S. Narayanan, R Thottungal, Cross-Layer Based Routing and Rate Control Using Fuzzy Decision Systems in MANET, International Journal on Information Technology, vol. 8 n. 2, February 2013 ,pp.642-652.

K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy sets and systems, vol. 31 n. 3, July 1989 , pp. 343-349.
http://dx.doi.org/10.1016/0165-0114(89)90205-4

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems, vol. 20 n. 1, August 1986, pp. 87-96.
http://dx.doi.org/10.1016/s0165-0114(86)80034-3

K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy sets and Systems, vol. 61 n. 2, January 1994, pp. 137-142.
http://dx.doi.org/10.1016/0165-0114(94)90229-1

K. T. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy sets and Systems, vol. 64 n. 2, June 1994, pp. 159-174.
http://dx.doi.org/10.1016/0165-0114(94)90331-x

K. T. Atanassov, Remarks on the intuitionistic fuzzy sets, Fuzzy sets and Systems, vol. 51 n. 1, October 1992 , pp. 117-118.
http://dx.doi.org/10.1016/0165-0114(92)90083-g

K. T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy sets and Systems, vol. 33 n. 1, October 1989, pp. 37-45.
http://dx.doi.org/10.1016/0165-0114(89)90215-7

W.L. Gau, D. J. Buehrer, Vague sets, Systems, Man and Cybernetics, IEEE Transactions on, vol. 23 n. 2, Aprial 1993, pp. 610-614.
http://dx.doi.org/10.1109/21.229476

Y. Yang, C. Hinde, A new extension of fuzzy sets using rough sets: R-fuzzy sets, Information Sciences, vol. 180 n. 3, February 2010, pp. 354-365.
http://dx.doi.org/10.1016/j.ins.2009.10.004

A. Banerjee, A. Dutta, Content Based Image Retrieval using Normalized Similarity Measure in Fuzzy Color Histogram, 2013.

X. Zuo, L.J. Wang, Y. Yue, A New Similarity Measure of Generalized Trapezoidal Fuzzy Numbers and Its Application on Rotor Fault Diagnosis, Mathematical Problems in Engineering, 2013.
http://dx.doi.org/10.1155/2013/824706

C.P. Wei, P. Wang, Y.Z. Zhang, Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications, Information Sciences, vol. 181 n. 19, October 2011, pp. 4273-4286.
http://dx.doi.org/10.1016/j.ins.2011.06.001

Y. Wei, New Similarity Measures for Soft Sets and Their Application, Fuzzy Information and Engineering, vol. 5 2013, pp. 19-25.
http://dx.doi.org/10.1007/s12543-013-0127-3

C.M. Hwang, M.S. Yang, W.L. Hung, M.G.. Lee, A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition, Information Sciences, vol. 189 n. 15, Aprial 2012, pp. 93-109.
http://dx.doi.org/10.1016/j.ins.2011.11.029

J. Ye, Cosine similarity measures for intuitionistic fuzzy sets and their applications, Mathematical and Computer Modelling, vol. 53 n. 1-2, January 2011, pp. 91-97.
http://dx.doi.org/10.1016/j.mcm.2010.07.022

Z. Xu, M. Xia, Distance and similarity measures for hesitant fuzzy sets, Information Sciences, vol. 181 n. 11, June 2011, pp. 2128-2138.
http://dx.doi.org/10.1016/j.ins.2011.01.028

A.Yılmaz, K.Ayan, Early Diagnosis In Cancer Disease By Using Fuzzy Logic and The Effects Of Stress On Cancer, International Journal on Information Technology, vol. 6 n. 3, May 2011 ,pp.347-354.

B. Yusoff, I. Taib, L. Abdullah, A. F. Wahab, A new similarity measure on intuitionistic fuzzy sets, International Journal of Computational and Mathematical Sciences, vol. 5, 2011, pp. 70-77.

Z. Yue, Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making, Expert Systems with Applications, vol. 38 n. 9, September 2011, pp. 11665-11670.
http://dx.doi.org/10.1016/j.eswa.2011.03.046

S.H. Wei, S.M. Chen, A new approach for fuzzy risk analysis based on similarity measures of generalized fuzzy numbers, Expert Systems with Applications, vol. 36 n. 1, January 2009, pp. 589-598.
http://dx.doi.org/10.1016/j.eswa.2007.09.033

N. Wang, L. Jin, Optimization Models for Schedule Risk Control of Virtual Enterprise, International Journal on Information Technology, vol. 7 n. 5, September 2012 ,pp.2308-2313.


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize