2000
DOI: 10.1016/s0165-0114(99)00021-4
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Fuzzy outranking for environmental assessment. Case study: iron and steel making industry

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Cited by 277 publications
(154 citation statements)
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“…Six different preference function types P j , were defined 12,21 and expressed by crisp values in the unit interval.…”
Section: Promethee-based Outranking Methodsmentioning
confidence: 99%
“…Six different preference function types P j , were defined 12,21 and expressed by crisp values in the unit interval.…”
Section: Promethee-based Outranking Methodsmentioning
confidence: 99%
“…(Zadeh, 1965;Zimmermann & Gutsche, 1991) A possible representation of a fuzzy number and the membership function is shown in figure 9. The formal notation for fuzzy numbers is displayed with a tilde over the literal (Chen, Hwang, & Hwang, 1992;Geldermann, Sprengler, & Rentz, 2000;Goumas & Lygerou, 2000). In this context the membership function of a fuzzy number (e. g. M  ) can be described using a middle value (m), a lower spread (α) and an upper spread (β), see equation 1.…”
Section: Fuzzy Logicmentioning
confidence: 99%
“…The operations used in the further algorithms are fuzzy addition ( ), fuzzy subtraction ( ), fuzzy multiplication ( ) and fuzzy division ( ) (Chen, Hwang, & Hwang, 1992;Geldermann, Sprengler, & Rentz, 2000).…”
Section: Notation Of a Triangular Fuzzy Numbermentioning
confidence: 99%
“…The basic steps of the PROMETHEE algorithm can be outlined as follows (Brans et al, 1986;Geldermann et al, 2000):…”
Section: Promethee and F-prometheementioning
confidence: 99%
“…In the literature, there are a few studies using F-PROMETHEE approach. Bilsel et al (2006), Chou et al (2007), Geldermann et al (2000) and Goumas and Lygerou (2000) have used F-PROMETHEE previously.…”
Section: Promethee and F-prometheementioning
confidence: 99%