Intuitionistic Fuzzy Similarity Measure for Generalized Fuzzy Numbers and its application in Fingerprint Matching

REFERENCES

• L. A. Zadeh , “Fuzzy sets,” Inform. Contr. , Vol. 8, no. 3, pp. 338–52, Jun. 1965.
   Google Scholar
• G. J. Klir and B. Yuan , Fuzzy sets and Fuzzy logic Theory and Applications. Upper Saddle River, NJ: Prentice-Hall, 1995, pp. 1–49.
   Google Scholar
• K. Atanassov , “Intuitionistic fuzzy sets,” Fuzzy Sets Syst. , Vol. 20, no. 1, pp. 87–96, Aug. 1986.
   Web of Science ®Google Scholar
• H. M. Hsu and C. T. Chen , “Aggregation of fuzzy opinions under group decision making,” Fuzzy Sets Syst. , Vol. 3, pp. 279–85, May 1996.
   Google Scholar
• L. K. Hyung , Y. S. Song , and K. M. Lee , “Similarity measures between fuzzy sets and between elements,” Fuzzy Sets Syst. , Vol. 3, pp. 291–3, Mar. 1994.
   Google Scholar
• H.-G. Peng , H.-Y. Zhang , and J.-Q. Wang , “Cloud decision support model for selecting hotels on TripAdvisor.com with probabilistic linguistic information,” Int. J. Hospital. Manage. , Vol. 68, pp. 124–38, Jan. 2018.
   Web of Science ®Google Scholar
• H. Zhou , J.-Q. Wang , and H. Zhang , “Stochastic multi-criteria decision-making approach based on SMAA-ELECTRE with extended grey numbers,” Int. Trans. Operational Res. , pp. 1–21, Nov. 2016. DOI: 10.1111/itor.12380.
   Google Scholar
• P. Ji , H.-Y. Zhang , and J.-Q. Wang , “Fuzzy decision-making framework for treatment selection based on the combined QUALIFLEX-TODIM method,” Int. J. Syst. Sci. , Vol. 48, no. 14, pp. 3072–86, Aug. 2017.
   Web of Science ®Google Scholar
• S.-M. Yu , J. Wang , J.-Q. Wang , and L. Li , “A multi-criteria decision-making model for hotel selection with linguistic distribution assessments,” Appl. Soft Comput. , Aug. 2017. DOI: 10.1016/j.asoc.2017.08.009.
   Web of Science ®Google Scholar
• G. W. Wei , “Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making,” Informat. (Lithuanian Acad. Sci.) , Vol. 28, no. 3, pp. 547–64, Jun. 2017.
   Google Scholar
• Y.-X. Cao , H. Zhou , and J.-Q. Wang , “An approach to interval-valued intuitionistic stochastic multi-criteria decision-making using set pair analysis,” Int. J. of Mach. Learn. Cybern. , Vol. 9, no. 41, pp. 1–12, Aug. 2016. DOI: 10.1007/s13042-016-0589-9.
   Google Scholar
• S. M. Chen , M. S. Yeh , and P. Y. Hsiao , “A comparison of similarity measures of fuzzy values.” Fuzzy Sets Syst. , Vol. 72, no. 1, pp. 78–89, May 1995.
   Web of Science ®Google Scholar
• C. H. Hsieh and S. H. Chen , “Similarity of generalized fuzzy numbers with graded mean integration representation,” in Proceeding of 8th International Fuzzy Systems Association World Congress , Taipei, Taiwan, Republic of China , Vol. 2, 1999, pp. 551–55.
   Google Scholar
• S.- J. Chen and S.-M. Chen , “Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers,” IEEE Trans. on Fuzzy Systems , Vol. 11, no. 1, pp. 45–56, Feb. 2003.
   Web of Science ®Google Scholar
• D. Yong , S. Wenkang , D. Feng , and L. Qi , “A new similarity measure of generalized fuzzy numbers and its application to pattern recognition,” Pattern Recogn. Lett. , Vol. 25, no. 8, pp. 875–83, Jun. 2004.
   Web of Science ®Google Scholar
• S.-J. Chen , “New similarity measure of generalized fuzzy numbers based on geometric mean averaging operator,” in Proceeding IEEE International Conference on Fuzzy Systems , Fuzz-IEEE, Vancouver, Canada , pp. 1879–86, Jul. 2006.
   Google Scholar
• B. Sridevi , “Fuzzy similarity measure for generalized fuzzy numbers,” Int. J. Open Problems Compt. Math. , Vol. 2, no. 2, pp. 241–53, Jun. 2009.
   Google Scholar
• K. Patra and S. K. Mondal , “Fuzzy risk analysis using area and height based similarity measure on generalized trapezoidal fuzzy numbers and its application,” Appl. Soft Comput. , Vol. 28, no. C, pp. 276–84, Mar. 2015.
   Google Scholar
• H. A. Khorshidi and S. Nikfalazar , “An improved similarity measure for generalized fuzzy numbers and its application to fuzzy risk analysis,” Appl. Soft Comput. , Vol. 52, no. C, pp. 478–86, Mar. 2017.
   Google Scholar
• T. J. Ross , Fuzzy Logic with Engineering Applications , 2nd ed. UK : John Wiley and Sons, 2004, pp. 90–119.
   Google Scholar
• K. T. Atanassov , “New operations defined over the intuitionistic fuzzy sets,” Fuzzy Sets and Syst. , Vol. 61, no. 2, pp. 137–42, Jan. 1994.
   Web of Science ®Google Scholar
• L. Hong , Y. Wan , and A. Jain , “Fingerprint image enhancement: algorithm and performance evaluation,” IEEE Trans. Pattern Anal. Mach Intell. , Vol. 20, no. 8, pp. 777–89, Aug. 1998.
   Web of Science ®Google Scholar
• M.-Y. Chen and D. A. Linkens , “Rule-base self-generation and simplification for data driven fuzzy models.” Fuzzy Sets Syst., Vol. 142, no. 2, pp. 243–65, Mar. 2004.
   Web of Science ®Google Scholar