Ambiguity of Fuzzy Quantities and a New Proposal for their Ranking

• Autorzy: Anzilli L. , Facchinetti G.

Warianty tytułu

PL

Niejednoznaczność wartości rozmytych i nowa propozycja ich rankingu

• Języki publikacji: EN

Abstrakty

EN

We deal with the problem of evaluating and ranking fuzzy quantities. We call fuzzy quantity any non-normal and non-convex fuzzy set, defined as the union of two, or more, generalized fuzzy numbers. For this purpose we suggest an evaluation defined by a pair index based on "value" & "ambiguity". Either value or ambiguity depend on two parameters connected the first with the optimistic/pessimistic point of view of the decision maker and the second on an additive measure that can be used to express the decision maker's preferences.

PL

W artykule zaproponowano nową metodę oceny wartości rozmytych (fuzzy). Proponuje się parę oznaczeń – wartość i noiejednoznaczność.

Słowa kluczowe

EN

fuzzy sets; generalized fuzzy numbers; evaluation function; ranking; defuzzication; ambiguity

PL

wartości rozmyte; logika rozmyta

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2012
• Tom: R. 88, nr 10b
• Strony: 280--283
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Anzilli L.

autor

Facchinetti G.

• Department of Economics, Mathematics and Statistics, University of Salento, Italy,

Bibliografia

• [1] Abbasbandy S., Hajjari T., A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, 57 (2009), 413-419
• [2] Facchinetti G., Ranking functions induced by weighted average of fuzzy numbers, Fuzzy Optimization and Decision Making, 1 (2002), 313-327
• [3] Facchinetti G., Ricci R.G., A characterization of a general class of ranking functions on triangular fuzzy numbers, Fuzzy Sets and Systems, 146 (2004), 297-312
• [4] Fortemps P., Roubens M., Ranking and defuzzification methods based on area compensation, Fuzzy Sets and Systems, 82 (1996), 319-330
• [5] Facchinetti G., Pacchiarotti N., Evaluations of fuzzy quantities, Fuzzy Sets and Systems, 157 (2006), 892-903
• [6] Delgado M., Vila M.A, Woxman W., On a canonical representation of fuzzy numbers, Fuzzy Sets and Systems 93 (1998), 125-135
• [7] Facchinetti G., Pacchiarotti N., A general defuzzification method for a fuzzy system output depending on different Tnorms, Advances in Fuzzy Sets and Systems, 4 (2009), 167-187
• [8] Zadeh L.A., A fuzzy-set-theoretic interpretation of linguistic hedge, Journal of Cybernetics 2 (1972), 4-34
• [9] Wang X., Kerre E.E., Reasonable properties for the ordering of fuzzy quantities (I), Fuzzy Sets and Systems, 118 (2001), 375-385