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Iranian Journal of Fuzzy Systems، جلد ۱۷، شماره ۴، صفحات ۴۱-۵۴

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عنوان انگلیسی General definitions for the :union: and intersection of ordered fuzzy multisets
چکیده انگلیسی مقاله Since its original formulation, the theory of fuzzy sets has spawned a number of extensions where the role of membership values in the real unit interval $[0, 1]$ is handed over to more complex mathematical entities. Amongst the many existing extensions, two similar ones, the fuzzy multisets and the hesitant fuzzy sets, rely on collections of several distinct values to represent fuzzy membership, the key difference being that the fuzzy multisets allow for repeated membership values whereas the hesitant fuzzy sets do not. But in neither case are these collections of values ordered, as they are simply represented through multisets or sets. In this paper, we study ordered fuzzy multisets, where the membership value can be an ordered $n$-tuple of values, thus accounting for both order and repetition. We present some basic definitions and results and explore the relation between these ordered fuzzy multisets and the fuzzy multisets and hesitant fuzzy sets.
کلیدواژه‌های انگلیسی مقاله Fuzzy sets, Fuzzy Multisets, ordered fuzzy multisets

نویسندگان مقاله Á. Riesgo |
Department of Statistics and O. R., University of Oviedo, Spain

P. Alonso |
Department of Mathematics, University of Oviedo, Spain

I. Díaz |
Department of Computer Science, University of Oviedo, Spain

S. Montes |
Department of Statistics and O. R., University of Oviedo, Spain


نشانی اینترنتی http://ijfs.usb.ac.ir/article_5405_72f81348e828cf69f89e9e6f64028fbf.pdf
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