Interval-valued intuitionistic fuzzy subgroups based on interval-valued double <i>t</i>-norm

AYGÜNOĞLU, ABDÜLKADİR; PAZAR VAROL, BANU; ÇETKİN, VİLDAN; AYGÜN, HALİS

doi:10.1007/s00521-011-0773-5

Interval-valued intuitionistic fuzzy subgroups based on interval-valued double <i>t</i>-norm

AYGÜNOĞLU A., PAZAR VAROL B., ÇETKİN V., AYGÜN H.

NEURAL COMPUTING & APPLICATIONS, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2012
Doi Numarası: 10.1007/s00521-011-0773-5
Dergi Adı: NEURAL COMPUTING & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, the interval-valued double t-norm (T) over tilde T induced by an interval t-norm (T) over bar and an interval t-conorm (S) over bar is defined. The interval-valued intuitionistic fuzzy sub-group and the interval-valued intuitionistic fuzzy normal subgroup based on the interval-valued double t-norm (T) over tilde are introduced. In the meantime, some of its basic properties and structural characteristics are studied. Furthermore, the theorems of the homomorphic image and the inverse image are given.