×

Interval-valued linguistic variables: an application to the L-fuzzy contexts with absent values. (English) Zbl 1190.68060

Summary: The goal of this work is to extend the concept of the linguistic variable to the interval-valued case since there are some situations where their application would be justified, as can be seen in this paper. After a brief introduction to fuzzy numbers and linguistic variables in \([0, 1]\), we define the interval-valued linguistic variables and we study their behaviour through three properties. In the second part of the paper, we show their utility for replacing the absent values in an L-fuzzy context.

MSC:

68T30 Knowledge representation
68T37 Reasoning under uncertainty in the context of artificial intelligence
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1145/170036.170072
[2] Alcalde, C., 2007. Extracción de conocimiento en contextos borrosos con información incompleta. Thesis (PhD). Universidad del Pas Vasco, Spain
[3] Alcalde, C. An application of the L-fuzzy concept theory to the short-circuit detection. IEEE international conference on fuzzy systems. pp.547–555. London
[4] DOI: 10.1080/03081070902857563 · Zbl 1183.68462
[5] Burusco A., Mathware and soft computing 1 pp 209– (1994)
[6] DOI: 10.1016/S0165-0114(00)00059-2 · Zbl 0979.68105
[7] DOI: 10.1016/0165-0114(85)90050-8 · Zbl 0618.90047
[8] Ganter B., Formal concept analysis: mathematical foundations (1999) · Zbl 0909.06001
[9] DOI: 10.1080/03081070600913650 · Zbl 1118.68168
[10] DOI: 10.1016/S0165-0114(96)00368-5 · Zbl 0930.03078
[11] Wille R., Ordered sets pp 445– (1982)
[12] DOI: 10.1016/S0888-613X(01)00064-0 · Zbl 1006.68018
[13] Zadeh L.A., Machine intelligence pp 149– (1970)
[14] DOI: 10.1109/TSMC.1973.5408575 · Zbl 0273.93002
[15] DOI: 10.1016/0020-0255(75)90036-5 · Zbl 0397.68071
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.