Volume: 7, Issue: 2(1999)
pp. 155-172 DOI: 10.1142/S0218488599000106
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Abstract |
Full Text (PDF, 1,909KB)
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| Title: |
AN AXIOMATIC APPROACH TO A CLASS OF RANKING FUNCTIONS FOR
TRIANGULAR FUZZY NUMBERS |
| Author(s): |
ROBERTO GHISELLI RICCI
Dipartimento di Economia Politica,
Università di Modena, 41100 Modena, Italia
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| History: |
Received July 1998
Revised March 1999
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| Abstract: |
This paper deals with the problem of ranking a set of alternatives,
represented by triangular fuzzy numbers, in decision-making
situations. A new approach is followed through the definition of some
axiomatic requirements which represent the essential properties that
characterize an arbitrary ranking function. A notion of degree of
risk associated to every ranking function is proposed to discriminate
equivalent alternatives. |
| Keywords: |
Fuzzy numbers; ranking functions; axiomatic form
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