The Intuitionistic Fuzzy Normed Space of Coefficients | Zendy

B. T. Bilalov | Zendy; Saeed Farahani | Zendy; Fatima Guliyeva | Zendy

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The Intuitionistic Fuzzy Normed Space of Coefficients

Author(s) -

B. T. Bilalov,

Saeed Farahani,

Fatima Guliyeva

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/969313

Subject(s) - mathematics , norm (philosophy) , fuzzy logic , normed vector space , banach space , completeness (order theory) , fuzzy mathematics , space (punctuation) , discrete mathematics , fuzzy number , pure mathematics , fuzzy set , algebra over a field , mathematical analysis , computer science , artificial intelligence , political science , law , operating system

Intuitionistic fuzzy normed space is defined using concepts of t-norm and t-conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this space are proved. Strong basicity criterion in fuzzy Banach space is presented in terms of coefficient operator

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