Operators in 2-fuzzy n-n inner product space

Downloads

DOI:

https://doi.org/10.26637/MJM0603/0015

Abstract

In this paper various 2 -fuzzy operators are introduced in 2 -fuzzy $n-n$ inner product space and the properties of 2-fuzzy self-adjoint, 2-fuzzy normal, 2-fuzzy unitary and 2-fuzzy projection operators are studied.

Keywords:

2- fuzzy n−n inner product space, 2 -fuzzy self-adjoint operator, 2 -fuzzy normal operator, 2 -fuzzy unitary operator, 2-fuzzy projection operator

Mathematics Subject Classification:

Mathematics
  • Thangaraj Beaula Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.
  • Daniel Evans Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.
  • Pages: 556-562
  • Date Published: 01-07-2018
  • Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

T. Bag and S. K. Samanta, Finite Dimensional fuzzy normed linear spaces, J. Fuzzy. Math., 11(3)(2003), 687705.

S.C.Cheng and J. N. Mordenson, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc., $86(1994), 429-436$.

Y.J. Cho, M Matic and J.Pecaric, Inequalities of Hlawka's type in $n$-inner product spaces, Commun. Korean Math. Soc., 17(2002), 583-592.

C.Dimminie, S. Gahler and A. White, 2-inner product spaces, Demonstratio Math, 6(1973), 525-536.

A. M. El-Abyad and H.M. El-Hamouly, Fuzzy inner product spaces, Fuzzy Sets and Systems, 44(1991), 309-326.

S. Gahler, Linear 2-normierte Raume, Math Nachr, $28(1964), 1-43$.

A.K.Katsaras, Fuzzy topological vector space, Fuzzy Sets and Systems, 12(1984), 143-154

P. Sinha, G. Lal and D. Mishra, On Fuzzy 2-Inner product spaces, International Journal of Fuzzy Mathematics and Systems, 3(3)(2016), 243-250.

R.M. Somasundaram and T. Beaula, Some aspects of 2fuzzy 2-normed linear spaces, Bull. Malyasian Math. Sci. Soc., 32(2009), 211-222.

S. Vijayabalaji and N. Thillaigovindan, Fuzzy n-inner product space, Bull. Korean Math. Soc., 43(3)(2007), $447-459$.

T. Beaula and D. Evans, Some Aspects of 2-Fuzzy $n-n$ Normed Linear Space, International Journal of Applications of Fuzzy Sets and Artificial Intelligence, 7(2017), $23-44$

Metrics

Metrics Loading ...

Published

01-07-2018

How to Cite

Thangaraj Beaula, and Daniel Evans. “Operators in 2-Fuzzy N-N Inner Product Space”. Malaya Journal of Matematik, vol. 6, no. 03, July 2018, pp. 556-62, doi:10.26637/MJM0603/0015.