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On product-sum of triangular fuzzy numbers. (English) Zbl 0725.04002

The author studies the membership function of the product-sum \(\bar a_ 1+\bar a_ 2+..\). of triangular fuzzy numbers \(\bar a_ 1,\bar a_ 2,..\). The results are associated with those of D. Dubois and H. Prade [Additions of interactive fuzzy numbers, IEEE Trans. Autom. Control 26, 926-936 (1981)].

MSC:

03E72 Theory of fuzzy sets, etc.
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References:

[1] Dubois, D.; Prade, H., Additions of interactive fuzzy numbers, IEEE Trans. Automat. Control, 26, 926-936 (1981) · Zbl 1457.68262
[2] Dubois, D.; Prade, H., Iverse operations for fuzzy numbers, (Proc. IFAC Symp. on Fuzzy Information, Knowledge, Representation and Decision Analysis. Proc. IFAC Symp. on Fuzzy Information, Knowledge, Representation and Decision Analysis, Marseille (1983)), 399-404 · Zbl 0571.04001
[3] Rao, M. B.; Rashed, A., Some comments on fuzzy variables, Fuzzy Sets and Systems, 6, 285-292 (1981) · Zbl 0467.03052
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