Journal
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
Volume 7, Issue 2, Pages 217-228Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-014-0250-4
Keywords
Gamma-Semihypergroup; Regular (intra-regular, completely regular) Gamma-semihypergroup; Gamma-hyperideal; i-v intuitionistic fuzzy set; i-v intuitionistic fuzzy left (right two-sided) Gamma-hyperideal; i-v intuitionistic fuzzy bi-Gamma-hyperideal; i-v intuitionistic fuzzy M(resp N)-hypersystems
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Funding
- Pakistan Science Foundation, Islamabad, Pakistan
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The notion of interval valued intuitionistic fuzzy sets was introduced by Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in -semihypergroups. We introduce the notions of interval valued intuitionistic fuzzy left (right, two sided) -hyperideal, interval valued intuitionistic fuzzy bi--hyperideal and interval valued intuitionistic fuzzy (1,2) -hyperideal in a -semihypergroup and some properties of them are obtained. We use the interval valued intuitionistic fuzzy left, right, two-sided and bi--hyperideals to characterize some classes of -semihypergroups. We also introduce the notion of an interval valued intuitionistic fuzzy (resp. )-hypersystem of a -semihypergroup and some properties of them are investigated.
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