Document Type : Research Paper
Authors
1 Department of Mathematics, K.E.College, Mannanam, Kottayam, 686561, Kerala, India
2 Department of Mathematics, University of Kerala, Trivandrum, 695581, Kerala, India
3 Department of Mathematics, Rajagiri School of Engineering & Technology, Cochin, Kerala, India
4 Department of Environmental Science, University of Kerala, Trivan- drum, Kerala, India
Abstract
A flood warning system is a non-structural measure for flood mitigation. Several parameters are responsible for flood related disasters. This work illustrates an ordered intuitionistic fuzzy analysis that has the capability to simulate the unknown relations between a set of meteorological and hydrological parameters. In this paper, we first define ordered intuitionistic fuzzy soft sets and establish some results on them. Then, we define similarity measures between ordered intuitionistic fuzzy soft (OIFS) sets and apply these similarity measures to five selected sites of Kerala, India to predict potential flood.
Keywords
bibitem{bu} J. J. Buckley, K. D. Reilly and L. J. Jowers, emph{Simulating continuous fuzzy systems}, Iranian Journal of fuzzy systems, {bf 2(1)} (2005), 1-18.
bibitem{ca}J. M. Cadenas and J. L. Verdegay, emph{A primer on fuzzy optimization models and methods}, Iranian Journal of fuzzy systems, {bf 3(1)} (2006), 1-21.
bibitem{ch} S. M. Chen, S. M. Yeh and P. H. Hasiao, emph{A comparison of similarity measures of fuzzy values}, Fuzzy sets and Systems, {bf72} (1995), 79-89.
bibitem{sun}S. Joseph Kalayathankal, G. Suresh Singh and P. B. Vinodkumar, emph{OIIF model of flood alarm}, Global Journal of Mathematical Sciences: Theory and Practical, {bf1(1)} (2009), 1-8.
bibitem{sunn}S. Joseph Kalayathankal and G. Suresh Singh, emph{IFS model of flood alarm}, Global Journal of Pure and Applied Mathematics, {bf9} (2009), 15-22.
bibitem{suy} S. Joseph Kalayathankal and G. Suresh Singh, emph{A fuzzy soft flood alarm model}, Mathematics and Computers in Simulation, {bf80} (2010), 887-893.
bibitem{sunm}S. Joseph Kalayathankal, G. Suresh Singh and P. B. Vinodkumar, emph{MADM models using ordered ideal intuitionistic fuzzy sets}, Advances in Fuzzy Mathematics, {bf4(2)} (2009), 101-106.
bibitem{pab}P. Kumar Maji, R. Biswas and A. Ranjan Roy, emph{Fuzzy soft sets}, The Journal of Fuzzy Mathematics, {bf9(3)} (2001), 589-602.
bibitem{pc} P. C. Nayak, K. P. Sudheer and K. S. Ramasastri, emph{Fuzzy computing based rainfall-runoff model for real time flood forecasting}, Hydrological Processes, {bf19} (2005), 955-968.
bibitem{to}E. Toth, A. Brath and A. Montanari, emph{Comparison of short-term rainfall prediction models for real-time flood forecasting}, Journal of Hydrology, {bf239} (2000), 132-147.
bibitem{xu} Z. S. Xu and J. Chen, emph{An overview of distance and similarity measures of intuitionistic fuzzy sets}, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, {bf16(4)} (2008), 529-555.
bibitem{zes}Z. Xu, emph{Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making}, Fuzzy Optim. Decis. Making, {bf6} (2007), 109-121.