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The Intuitionistic Fuzzy Normed Space of Coefficients

Author

Listed:
  • B. T. Bilalov
  • S. M. Farahani
  • F. A. Guliyeva

Abstract

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.

Suggested Citation

  • B. T. Bilalov & S. M. Farahani & F. A. Guliyeva, 2012. "The Intuitionistic Fuzzy Normed Space of Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:969313
    DOI: 10.1155/2012/969313
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    References listed on IDEAS

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    1. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    2. M. Mursaleen & V. Karakaya & S. A. Mohiuddine, 2010. "Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-14, January.
    3. M. Mursaleen & V. Karakaya & S. A. Mohiuddine, 2010. "Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
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    Cited by:

    1. Mehmet Şahin & Necati Olgun & F. Talay Akyıldız & Ali Karakuş, 2012. "Generalized Caratheodory Extension Theorem on Fuzzy Measure Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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