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ON INTERRELATIONSHIPS BETWEEN FUZZY METRIC STRUCTURES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 10، شماره 2، تیر 2013، صفحه 133-150 اصل مقاله (396.75 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.616 | ||
نویسندگان | ||
Antonio Roldan* 1؛ Juan Martnez-Moreno2؛ Concepcion Roldan3 | ||
1Department of Statistics and Operations Research, University of Jaen, Campus Las Lagunillas, s/n, E-23071, Jaen, Spain | ||
2Department of Mathematics, University of Jaen, Campus Las Lagunillas, s/n, E-23071, Jaen, Spain | ||
3Department of Statistics and Operations Research, University of Granada, Campus Fuentenueva s/n, E-18071, Granada, Spain | ||
چکیده | ||
Considering the increasing interest in fuzzy theory and possible applications, the concept of fuzzy metric space concept has been introduced by several authors from different perspectives. This paper interprets the theory in terms of metrics evaluated on fuzzy numbers and defines a strong Hausdorff topology. We study interrelationships between this theory and other fuzzy theories such as intuitionistic fuzzy metric spaces, Kramosil and Michalek's spaces, Kaleva and Seikkala's spaces, probabilistic metric spaces, probabilistic metric co-spaces, Menger spaces and intuitionistic probabilistic metric spaces, determining their position in the framework of theses different theories. | ||
کلیدواژهها | ||
Fuzzy metric؛ Fuzzy metric space؛ Fuzzy number؛ fuzzy topology؛ Links between dierent models | ||
مراجع | ||
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