پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شمارهها | 489 |
| تعداد مقالات | 4,366 |
| تعداد مشاهده مقاله | 7,484,695 |
| تعداد دریافت فایل اصل مقاله | 5,044,003 |
Study of temporal intuitionistic fuzzy metric space | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 1، 2023، صفحه 103-110 اصل مقاله (249.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2515 | ||
| نویسنده | ||
| Ram Milan Singh* | ||
| Department of Mathematics, Institute for Excellence in higher Education, Bhopal , India | ||
| چکیده | ||
| In order to create a dynamic measure that describes distances between spatiotemporal points whose positions change over time as well as between the data represented by these points,a temporal intuitionistic fuzzy metric space is created in this pa-per. The notions of temporal fuzzy t-norm, temporal fuzzy t-conorm, and temporal fuzzy negation which have not previously been discussed in the literature are defined, and some of their fun-damental characteristics are investigated, in order to define this new method.The idea that the degrees of nearness and non-nearness change with time is the basis for a novel definition of the concept of temporal intuitionistic fuzzy metric spaces. However, the basic topological characteristics of the temporal intuitionistic fuzzy met-ric space are also looked at. We demonstrate how this new temporal metric space preserves the basic characteristics offered by both clas-sical and fuzzy metric spaces. As a result, a new, more flexible, and dynamic metric topology is created while maintaining the fundamental topological characteristics of fuzzy and intuitionistic fuzzy metric spaces. | ||
| کلیدواژهها | ||
| fuzzy sets؛ fuzzy metric spaces؛ intuitionistic fuzzy metric spaces؛ temporal intuitionistic sets؛ temporal intuitionistic spaces | ||
| مراجع | ||
|
[1] L. A. Zadeh , Fuzzy sets , Inform. Contro, 8 (1965), 338-353. [2] I. Kramosil and J. Michalek, Fuzzy metrics and statistical metric spaces, Kyber-net.11 (1975) 336-344. [3] A. George and P. Veeramani, On some results in fuzzy metric spaces. Fuzzy Sets Syst, 64 (1994), 395-399. [4] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst,20 (1986)87-96. [5] R. Verma and B. D. Sharma, Intuitionistic fuzzy sets: Some new results, Notes Intuit. Fuzzy Sets 17(2011) 1-10. [6] I. Iancu and N. Constantinescu, Intuitionistic fuzzy system for fingerprints au-thentication, Appl. Soft Comput, 13 (2013), 2136-2142. [7] S. E. Abbas, On intuitionistic fuzzy compactness, Inform. Sci. 173 (2005), 75-91. [8] B. Davvaz and E. H. Sadrabadi, An application of intuitionistic fuzzy sets in medicine. Int. J. Biomath, 9 (2016),Art.no.1650037. [9] M. Hassaballah and A. Ghareeb, A framework for objective image quality mea-sures based on intuitionistic fuzzy sets, Appl. Soft Comput.,57 (2017)48-59. [10] H. Garg and K. Kumar, S A novel exponential distance and its based TOPSIS method for interval-valued intuitionistic fuzzy sets using connection number of SPA theory, Art. Intell. Rev.,53(2020), 595-624. [11] J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solit. Fract., 22 (2004),1039-1046. [12] K. T. Atanassov, Temporal intuitionistic fuzzy relations, Proceedings of 4th In-ternational Conference on Flexible Query Answering Systems,Warsaw, Poland,(2000) pp.153-160. [13] F. Kutlu and T. Bilgin, Temporal intuitionistic fuzzy topology in ostak’s sense.Notes Intuit. Fuzzy Sets,21 (2015), 63-70. [14] O. H. Khalil and A. E. N. Ghareeb, Similarity measures between temporal intu-itionistic fuzzy sets, Maejo Int. J. Sci. Technol,11 (2017)275-284. [15] F. Kutlu, O. Atan and T. Bilgin, Distance measure, similarity measure, entropy and inclusion measure for temporal intuitionistic fuzzy sets, Proceedings of Inter-national Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference,2016, Mersin, Turkey, pp.130-148. [16] L. H. Chen and C. C. Tu, Time-validating-based Atanassov’s intuitionistic fuzzy decision making, IEEE Trans. Fuzzy Syst.,23 (2015), 743-756. [17] M. M. Khalaf, S. O. Alharbi and W. Chammam, Similarity measures between temporal complex intuitionistic fuzzy sets and application in pattern recognition and medical diagnosis, Discrete Dyn. Nat. Soc.,2019, Art.ID 3246439. | ||
|
آمار تعداد مشاهده مقاله: 347 تعداد دریافت فایل اصل مقاله: 450 |
||