A Note on Intuitionistic Fuzzy Hypervector Spaces

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sanjay_roy
sanjay_roy
σ
Sanjay Roy
Sanjay Roy
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T. K. Samanta
T. K. Samanta
α South Bantra Ramkrishna Institution

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A Note on Intuitionistic Fuzzy Hypervector Spaces

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Abstract

The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the notion of a linear transformation on a hypervector space is introduced and established an important theorem relative to Intuitionistic fuzzy hypervector spaces.

References

12 Cites in Article
  1. R Ameri,O Dehghan (2005). Fuzzy Hypervector Spaces.
  2. B Dinda,T Samanta (2010). Intuitionistic Fuzzy Continuity and Uniform Convergence.
  3. Krassimir Atanassov (1986). Intuitionistic fuzzy sets.
  4. F Marty (1935). Destins de la sexualité dans les groupes.
  5. F Marty (1936). Sur les groupes et les hypergroupes, attaches a une fraction rationnelle.
  6. Anastase Nakassis (1988). Recent results in hyperring and hyperfield theory.
  7. S Roy,T Samanta A note on Hypervector Spaces.
  8. S Roy,T Samanta Innerproduct Hyperspaces.
  9. T Samanta,I Jebril (2009). Finite dimentional intuitionistic fuzzy normed linear space.
  10. M Tallini (1990). Hypervector Spaces.
  11. L Torkzadeh,M -Abbasi,M -Zahedi (2008). Some results of intuitionistic fuzzy weak dual hyper K-ideals.
  12. Srinivasan Vijayabalaji,Natesan Thillaigovindan,Young-Bae Jun (2007). INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

sanjay_roy. 1970. \u201cA Note on Intuitionistic Fuzzy Hypervector Spaces\u201d. Unknown Journal GJCST Volume 10 (GJCST Volume 10 Issue 10): .

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GJCST Volume 10 Issue 10
Pg. 84- 91
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v1.2

Issue date

September 30, 2010

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en
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The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the notion of a linear transformation on a hypervector space is introduced and established an important theorem relative to Intuitionistic fuzzy hypervector spaces.

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A Note on Intuitionistic Fuzzy Hypervector Spaces

Sanjay Roy
Sanjay Roy
T. K. Samanta
T. K. Samanta

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