On interval-valued fuzzy metric spaces

International Journal of Fuzzy Systems

Volumn 14, Issue 1, 2012, Pages 35-44

  Shen, Yonghong ^a   Li, Haifeng ^a   Wang, Faxing ^b  

^a TIANSHUI NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Complete; Interval numbers; Interval valued fuzzy metric spaces; Interval valued fuzzy sets; Interval valued t norm; Topology

Indexed keywords

FUZZY LOGIC; FUZZY SETS;

COMPLETE; CONTINUOUS T-NORMS; FUZZY METRIC SPACES; INTERVAL NUMBER; INTERVAL-VALUED; INTERVAL-VALUED FUZZY METRIC SPACE; INTERVAL-VALUED FUZZY SETS; INTERVAL-VALUED T-NORM; T - NORM;

TOPOLOGY;

EID: 84860341660     PISSN: 15622479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. I. Kramosil and Michálek, "Fuzzy metric and statistical metric spaces," Kybernetika, vol. 11, pp. 336-344, 1975.
2. M. A. Erceg, "Metric spaces in fuzzy set theory," Journal of Mathematical Analysis and Applications, vol. 69, pp. 205-230, 1979.
3. Z. K. Deng, "Fuzzy pseudo metric spaces," Journal of Mathematical Analysis and Applications, vol. 86, pp. 74-95, 1982.
4. O. Kaleva and S. Seikkala, "On fuzzy metric spaces," Fuzzy Sets and Systems, vol. 12, pp. 215-229, 1984.
5. M. T. Abu Osman, "Fuzzy metric spaces and fixed fuzzy set theorem," Bulletin of the Malaysian Mathematical Sciences Society, vol. 6, no. 1, pp. 1-4, 1983.
6. K. Chakrabarty, R. Biswas, and S. Nanda, "On fuzzy metric spaces," Fuzzy Sets and Systems, vol. 99, pp. 111-114, 1998. (Pubitemid 128654956)
7. A. George and P. Veeramani, "On some results in fuzzy metric spaces," Fuzzy Sets and Systems, vol. 64, pp. 395-399, 1994.
8. A. George and P. Veeramani, "On some results of analysis for fuzzy metric spaces," Fuzzy Sets and Systems, vol. 90, pp. 365-368, 1997.
9. M. Grabiec, "Fixed points in fuzzy metric spaces," Fuzzy Sets and Systems, vol. 27, pp. 385-389, 1988.
10. J. H. Park, "Intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 22, pp. 1039-1046, 2004.
11. C. Alaca, D. Turkoglu, and C. Yildiz, "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 29, pp. 1073-1078, 2006.
12. V. Gregori, S. Romaguera, and P. Veeramani, "A note on intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 28, pp. 902-905, 2006. (Pubitemid 41607587)
13. A. Mohamad, "Fixed-point theorems in intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 34, pp. 1689-1695, 2007. (Pubitemid 46907577)
14. R. Saadati, S. Sedghi, and N. Shobe, "Modified intuitionistic fuzzy metric spaces and some fixed point theorems," Chaos, Solitons and Fractals, vol. 38, pp. 36-47, 2008. (Pubitemid 351503983)
15. B. Deshpande, "Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol.42, pp. 2722-2728, 2009.
16. S. N. Ješic and N. A. Babacev, "Common fixed point theorems in intuitionistic fuzzy metric spaces and L-fuzzy metric spaces with nonlinear contractive condition," Chaos, Solitons and Fractals, vol. 37, pp. 675-687, 2008. (Pubitemid 351337671)
17. S. N. Ješic, "Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 41, pp. 292-301, 2009.
18. S. Sharma, B. Deshpande, "Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces," Chaos, Solitons and Fractals, vol. 40, pp. 2242-2256, 2009.
19. L. A. Zadeh, "The concept of a linguistic variable and its application to approximation reasoning I," Information Sciences, vol. 8, pp. 199-249, 1975.
20. C. Li, "Distances between interval-valued fuzzy sets," Proceedings of The 28th North American Fuzzy Information Processing Society Annual Conference (NAFIPS2009), Cincinnati, USA, DOI:10.1109/NAFIPS.2009. 5156438, Jun. 2009.
21. D. H. Hong and S. Lee, "Some algebraic properties and a distance measure for interval-valued fuzzy numbers," Information Sciences, vol. 148, pp. 1-10, 2002. (Pubitemid 35384690)
22. G. Wang and X. Li, "Correlation and information energy of interval-valued fuzzy numbers," Fuzzy Sets and Systems, vol. 103, pp. 169-175, 1999. (Pubitemid 129501755)
23. E. P. Klement and R. Mesiar, "Triangular norms," Tatra Mountains Mathematical Publications, vol. 13, pp. 169-193, 1997.
24. B. Schweizer and A. Sklar, "Statistical metric spaces," Pacific Journal of Mathematics, vol. 10, pp. 385-389, 1960.
25. S. Jenei and J. C. Fodor, "On continuous triangular norms," Fuzzy Sets and Systems, vol. 100, pp. 273-282, 1998. (Pubitemid 128654409)
26. S. Willard, General topology, Courier Dover Publications, Mineola, NY, 2004.