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Hong, Dug Hun

Some results on the addition of fuzzy intervals. (English) Zbl 1010.03524

Fuzzy Sets Syst. 122, No. 2, 349-352 (2001).
Summary: A simple new method of computing the \(T\)-sum of fuzzy intervals, having the same results as the sum of fuzzy intervals based on the weakest t-norm \(T_W\), is introduced. This work extends that of R. Mesiar [Fuzzy Sets Syst. 91, 231-237 (1997; Zbl 0919.04011)] and A. Marková-Stupnanová [Fuzzy Sets Syst. 91, 253-258 (1997; Zbl 0919.04010)].

Cited in 12 Documents

MSC:

03E72 Theory of fuzzy sets, etc.

Keywords:

fuzzy arithmetic; triangular norm; \(T\)-sum of fuzzy intervals

Citations:

Zbl 0919.04011; Zbl 0919.04010
PDFBibTeX XMLCite
\textit{D. H. Hong}, Fuzzy Sets Syst. 122, No. 2, 349--352 (2001; Zbl 1010.03524)
Full Text: DOI

References:

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[8] Hong, D. H.; Hwang, S. Y., On the convergence of \(T\)-sum of \(L-R\) fuzzy numbers, Fuzzy Sets and Systems, 63, 175-180 (1994) · Zbl 0844.04004
[9] Hong, D. H.; Hwang, C., A \(T\)-sum bound of \(LR\)-fuzzy numbers, Fuzzy Sets and Systems, 91, 239-252 (1997) · Zbl 0920.04010
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[13] Marková, A., A note to the addition of fuzzy numbers based on a continuous Archimedean t-norm, Fuzzy Sets and Systems, 91, 253-258 (1997) · Zbl 0919.04010
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[16] Mesiar, R., Shape preserving additions of fuzzy intervals, Fuzzy Sets and Systems, 86, 73-78 (1997) · Zbl 0921.04002
[17] Mesiar, R., Triangular norm-based addition of fuzzy intervals, Fuzzy Sets and Systems, 91, 231-237 (1997) · Zbl 0919.04011
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