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Fuzzy $n$-inner product space

Srinivasan Vijayabalaji|Natesan Thillaigovindan
대한수학회 (The Korean Mathematical Society)|2007.08|대한수학회보 (Bulletin of the KMS)|제44권 제3호|pp. 447-459

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Abstract

The purpose of this paper is to introduce the notion of fuzzyn-inner product space. Ascending family of quasi -n-norms correspond-ing to fuzzy quasi n-norm is introduced and we provide some results onit.

참고문헌 (15)

  1. "Samanta, Finite dimensional fuzzy normed linear spaces", 11(3), pp.687~705 (2003)
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  3. "Theory of 2-inner product spaces" (2001), Nova Science Publishers, Inc., NY
  4. "The completion of a fuzzy normed linear space" (1993)
  5. "Finite dimensional fuzzy normed linear space. II", 7, pp.117~131 (1999)
  6. "On n-normed spaces", 27(10), pp.631~639 (2001)
  7. "Strict convexity in linear n-normed spaces" (1996)
  8. "On fuzzy inner product spaces and fuzzy co-inner productspaces", 53 (1993)
  9. "Linear mappings, fuzzy linear spaces, fuzzy inner product spaces and fuzzyco-inner product spaces", 87(3), pp.237~246 (1995)
  10. "Separation of fuzzy normed linear spaces" (1994)
  11. "Strong n-convex n-normed spaces", (21), pp.81~102 (1997)
  12. "n-inner product spaces", 140 (1989)
  13. "Orthogonality and orthonormality in n-inner product spaces" (1989)
  14. "Fuzzy n-normed linear space", 2005(24), pp.3963~3977 (2005)
  15. "On the completeness of fuzzy normed linearspaces", 45(1), pp.33~37 (1997)

관련 논문AI추천

Intuitionistic fuzzy $n$-normed linear space전영배, Natesan Thillaigovindan, Srinivasan Vijayabalaji대한수학회 · 대한수학회보2007 · 제44권 제2호Fuzzy interior spaces김용찬, A. A. Ramadan, M. A. Abdel-Sattar대한수학회 · 대한수학회보2002 · 제39권 제4호Finite dimensional intuitionistic fuzzy n-normed linear spacesT. Bag기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호Some results on finite dimensional fuzzy cone normed linear spaceP. Tamang, T. Bag기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제1호Inequalities of Hlawka's Type in $n$-inner Product spacesJ. Pe\v cari\'c, M. Mati\, Y. J. Cho대한수학회 · 대한수학회논문집2002 · 제17권 제4호Fuzzy Hilbert $C^*$-modules박춘길, Morteza Essmaili, Reza Chaharpashlou강원경기수학회 · 한국수학논문집2025 · 제33권 제2호

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