ی مدل سر ر ب ی مدل سر ر بELECTRE ELECTRE II II اره ی ع م د ن چ ری گی م ی م ص ت در اره ی ع م د ن چ ری گی م ی م ص ت در( ( MCDM MCDM ) ) اد: ی س ا ی ع و ل ط ر کی ای د ا*ق اب ن چ ده: ی ه ه د. ارائ لا صدری ی ه س اب ق ی ق ح تم و و ل ع واحد
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مدل مدل بررسی بررسیELECTRE IIELECTRE II
چند گیری تصمیم چند در گیری تصمیم در((MCDMMCDM)) معیارهمعیاره
استاد:جناب آقای دکتر طلوعی
ارائه دهنده:سهیال صدری
تحقیقات و علوم واحد
ELECTRE : Elimination Et (and) Choice Translating Reality
Despite the numerous versions of the ELECTRE evaluation method, how to select the method most relevant to a particular problem is a key problem for analysts and policy makers. Thus, updating the ELECTRE benchmark to provide the most pertinent response to different issues is crucial.
ELECTRE I evaluation method generally included three concepts: concordance index discordance index threshold value
The concordance index and discordance index in ELECTRE II incorporate two extreme opposite relationships, i.e. strong relationship (Rs) and weak relationship (Rw), whereby strong-ranking and weak-ranking are deduced to obtain the final ranking.
ELECTRE I is designed for choice problems ELECTRE II aims to rank the alternatives.
مراحل روش: نشاندهنده معیارهای تصمیم گیری I نشاندهنده آلترناتیوها و Aاگر نشاندهنده وزنها باشد داریم:Wو
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)}()(|{ kjhjj AGAGCI
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(Concordance Index)ماتریس هماهنگ 1
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(Discordance Index)ماتریس ناهماهنگ
)),(max()()(
),(jhj
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j refers to the R-degree parameter used by a decision maker for criteria j to represent the degree of attention paid by the decision maker to criteria j
(Discordance Index)ماتریس ناهماهنگ A.V.M.D.P : absolute value of the maximum
differentiated performance
A.V.S.D.P : absolute value of the sum of differentiated performance.
Relationship According to the definition of Rs and Rw,
policy makers must determine different concordance index levels and discordance index reducible level.
It is assumed that, p*, p0 and p- are represented by three degressive concordance levels, respectively, and meet the following conditions:
q0 and q* are represented by two degressive discordance levels, and meet the following conditions:
10 *0 ppp
10 *0 qq
After decision maker identify concordance and discordance levels, it is possible to establish value for the strong outranking relationship (Rs) and weak outranking relationship (Rw), calculate strong ranking and weak ranking values, and finally, determine the average ranking for final ranking result.