Ranking of intuitionistic fuzzy numbers

Author

Gomathi Nayagam, Lakshmana V. ; Venkateshwari, G. ; Sivaraman, Geetha

Author_Institution

Dept. of Math., Nat. Inst. of Technol., Tiruchirapalli

fYear

2008

fDate

1-6 June 2008

Firstpage

1971

Lastpage

1974

Abstract

The notion of fuzzy subsets was introduced by L.A.Zadeh (1965) and it was generalised to intuitionistic fuzzy subsets by K.Atanassov [1]. After the invention of intuitionistic fuzzy subsets, many real life problems are studied accurately [7, 13, 14]. The measure of fuzziness was studied in [12, 16]. The ranking of intuitionistic fuzzy numbers plays a main role in modelling many real life problems involving intuitionistic fuzzy decision making, intuitionistic fuzzy clustering. H.B.Mitchell introduced a method of ranking intuitionistic fuzzy numbers in [10]. In this paper, a new method of intuitionistic fuzzy scoring to intuitionistic fuzzy numbers that generalizes Chen and Hwangpsilas scoring method for ranking of intuitionistic fuzzy numbers has been introduced and studied.

Keywords

fuzzy logic; fuzzy set theory; number theory; intuitionistic fuzzy clustering; intuitionistic fuzzy decision making; intuitionistic fuzzy number ranking; intuitionistic fuzzy scoring; intuitionistic fuzzy subset generalisation; Decision making; Fuzzy sets; Leg;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on

Conference_Location

Hong Kong

ISSN

1098-7584

Print_ISBN

978-1-4244-1818-3

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2008.4630639

Filename

4630639