Dh. Hong et Hy. Do, FUZZY SYSTEM RELIABILITY-ANALYSIS BY THE USE OF T-OMEGA (THE WEAKEST T-NORM) ON FUZZY NUMBER ARITHMETIC OPERATIONS, Fuzzy sets and systems, 90(3), 1997, pp. 307-316
Citations number
14
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
In general, the sup-min convolution has been used for fuzzy arithmetic
to analyze fuzzy system reliability, where the reliability of each sy
stem component is represented by fuzzy numbers. it is well known that
T-omega-based addition preserves the shape of L-R type fuzzy numbers.
In this paper, we show T-omega-based multiplication also preserves the
shape of L-R type fuzzy numbers. We then apply T-omega-based arithmet
ic operations to fuzzy system reliability analysis. In fact, we show t
hat we can simplify fuzzy arithmetic operations and even get the exact
solutions for L-R type fuzzy system reliability, while others [Singer
, Fuzzy Sets Syst. 34 (1990) 145; Cheng and Mon, Fuzzy Sets Syst. 56 (
1993) 29; Chen, Fuzzy Sets Syst. 64 (1994) 31] have got the approximat
e solutions using sup-min convolution for evaluating fuzzy system reli
ability. (C) 1997 Elsevier Science B.V.