1985
DOI: 10.1080/02630258508970407
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Fuzzy computations in risk and decision analysis

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Cited by 105 publications
(28 citation statements)
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“…The calculation procedure of the model is complemented by the following methods: 1) the DSW algorithm -first developed by the team of Dong, Shah & Wong [9], later modified by the team of Givens & Tahani [10], which involves the implementation of the principle of fuzzy expansion in the context of performing basic arithmetic operations (addition, subtraction, multiplication and division); 2) the vertex method (VM), which eliminates errors that could occur during arithmetic operations on fuzzy numbers, particularly on their intervals after the decomposition of fuzzy sets; 3) one of the universal defuzzification methods, which can be effectively used regardless of the shape of the membership function of the resulting fuzzy set, that is, either the centre of gravity method (CoG) or the area compensation method (AC), in which the acute resulting value representing the fuzzy output set is the arithmetic average of the surface (A l i A r ) appointed by vertical axis μ(x) and left or right curve limiting the resulting fuzzy set, respectively.…”
Section: Algorithms and Methods Used In The Development Of The Modelmentioning
confidence: 99%
“…The calculation procedure of the model is complemented by the following methods: 1) the DSW algorithm -first developed by the team of Dong, Shah & Wong [9], later modified by the team of Givens & Tahani [10], which involves the implementation of the principle of fuzzy expansion in the context of performing basic arithmetic operations (addition, subtraction, multiplication and division); 2) the vertex method (VM), which eliminates errors that could occur during arithmetic operations on fuzzy numbers, particularly on their intervals after the decomposition of fuzzy sets; 3) one of the universal defuzzification methods, which can be effectively used regardless of the shape of the membership function of the resulting fuzzy set, that is, either the centre of gravity method (CoG) or the area compensation method (AC), in which the acute resulting value representing the fuzzy output set is the arithmetic average of the surface (A l i A r ) appointed by vertical axis μ(x) and left or right curve limiting the resulting fuzzy set, respectively.…”
Section: Algorithms and Methods Used In The Development Of The Modelmentioning
confidence: 99%
“…Risk is expressed in terms of fuzzy risk only when we study it by a fuzzy method. Some early related applications can be found in the literature (Brown, 1979;Clements, 1977;Dong et al, 1985;Esogbue et al, 1992;Hadipriono and Ross, 1991;Hoffman et al, 1978).…”
Section: Fuzzy Riskmentioning
confidence: 99%
“…The reader can find additional information on fuzzy arithmetic and alpha-cut methods in Dong et al (1985), Kaufmann and Gupta (1985), and Ross (2010).…”
Section: Appendixmentioning
confidence: 99%
“…The main ones are the Vertex and DSW methods (Ross 2010). The most suitable of these is the second one (DSW, from Dong, Shah, and Wong) (Dong et al 1985), based on performing interval operations with alpha-cuts. With this method, in order to operate two variables, it is necessary to calculate several Kyoto Protocol…”
Section: Foundationsmentioning
confidence: 99%