Indonesian Journal of Electrical Engineering and Computer Science
Vol 10, No 6: October 2012

Discussion on Type-I fuzzy boundary and Research on Boundary Definition of High Order Fuzzy Region

Guo Jifa (Tianjin Normal University)
Cui Tiejun (Tianjin Normal University)



Article Info

Publish Date
01 Oct 2012

Abstract

The definition of fuzzy boundary is crucial in research of modeling and analysis of fuzzy geographical phenomena. The problem “boundary syndrome” has been a longstanding problem in this domain, and this problem has seriously affected the research and application of fuzzy geographical model. The existing fuzzy boundary models were discussed at first, and then some models based on type-I fuzzy sets were analyzed in detail. This paper pointed out the fuzzy boundary models should have three kinds of meaning: “frontier”, “transition” and “division”. Three types of boundary models of high order fuzzy region were proposed based on interval type-2 fuzzy set, and they embody three kinds of meaning of fuzzy boundary respectively. The models proposed by this paper have a positive effect to high order geographical phenomena modeling and analysis. DOI: http://dx.doi.org/10.11591/telkomnika.v10i6.1544

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