Mathematics and Statistics Vol. 2(2), pp. 62 - 71
DOI: 10.13189/ms.2014.020202
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New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set

Said Broumi ^1,*, Florentin Smarandache ^2
1 Faculty of Arts and Humanities, Hay El Baraka Ben M'sik Casablanca B.P. 7951, Hassan II University Mohammedia-Casablanca, Morocco
² Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA

ABSTRACT

Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a useful tool allowing several possible degrees of membership of an element to a set. Recently, another suitable means were defined by Zhiming Zhang [1], called interval valued intuitionistic hesitant fuzzy sets, dealing with uncertainty and vagueness, and which is more powerful than the hesitant fuzzy sets. In this paper, four new operations are introduced on interval-valued intuitionistic hesitant fuzzy sets and several important properties are also studied.

KEYWORDS
Fuzzy Sets, Intuitionistic Fuzzy Set, Hesitant Fuzzy Sets, Interval-Valued Intuitionistic Hesitant Fuzzy Set, Interval Valued Intuitionistic Fuzzy Sets

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Said Broumi , Florentin Smarandache , "New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set," Mathematics and Statistics, Vol. 2, No. 2, pp. 62 - 71, 2014. DOI: 10.13189/ms.2014.020202.

(b). APA Format:
Said Broumi , Florentin Smarandache (2014). New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set. Mathematics and Statistics, 2(2), 62 - 71. DOI: 10.13189/ms.2014.020202.