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Fuzzy soft symmetric operators

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In this work, we define the fuzzy soft symmetric operator, which is a special type of fuzzy soft linear operators in fuzzy soft Hilbert spaces based on fuzzy soft inner product spaces, initiated by Faried et al. [6]. Moreover, an example of the fuzzy soft symmetric operator is introduced. Furthermore, related fuzzy soft point spectrum theorem is investigated.

Abstract

In this work, we define the fuzzy soft symmetric operator, which is a special type of fuzzy soft linear operators in fuzzy soft Hilbert spaces based on fuzzy soft inner product spaces, initiated by Faried et al. [6]. Moreover, an example of the fuzzy soft symmetric operator is introduced. Furthermore, related fuzzy soft point spectrum theorem is investigated.

참고문헌 (18)

  1. S. Bayramov, "Soft locally compact spaces and soft paracompact spaces", J. Math. Sys. Sci, 3, pp.122~130 (2013)
  2. T. Beaula, "On fuzzy soft metric spaces", Malaya J. Mat, 2(3), pp.197~202 (2014)
  3. T. Beaula, "A new notion for fuzzy soft normed linear spac", Int. J. Fuzzy Math. Arch, 9(1), pp.81~90 (2015)
  4. S. Das, "On soft inner product spaces", Ann. Fuzzy Math. Inform, 6(1), pp.151~170 (2013)
  5. S. Das, "Soft Metric", Ann. Fuzzy Math. Inform, 6(1), pp.77~94 (2013)
  6. N. Faried, "Fuzzy soft inner product spaces", Applied Mathematics & Information Sciences
  7. N. Faried, "Fuzzy soft Hilbert spaces"
  8. N. Faried, "On fuzzy soft linear operators in fuzzy soft Hilbert spaces"
  9. P. K. Maji, "Fuzzy soft set", J. Fuzzy Math, 9(3), pp.677~692 (2001)
  10. D. Molodtsov, "Soft set theory-First results", Comput. Math. Appl, 37, pp.19~31 (1999)
  11. T. J. Neog, "Fuzzy soft topological spaces", Int. J. Latest Trend Math, 2(1), pp.54~67 (2012)
  12. G. Senel, "A new approach to Hausdorff space theory via the soft sets", Math. Prob. Engineer, 9 (2016)[DOI]
  13. G. Senel, "A comparative research on the definition of soft point", Inter. J. Comp. Appl., 163(2) (2017)[DOI]
  14. G. Senel, "The parameterization reduction of soft point and its applications with soft matrix", Math. Prob. Engineer, 164(1) (2017)[DOI]
  15. G. Senel, "A new construction of spheres via soft real numbers and soft points", Math. Lett, 4(3), pp.39~43 (2018)[DOI]
  16. M. I. Yazar, "Results on soft Hilbert spaces", TWMS J. App. Eng. Math, 9(1), pp.159~164 (2019)
  17. M. I. Yazar, "A new view on soft normed spaces", Int. Math. For, 9(24), pp.1149~1159 (2014)
  18. L. A. Zadeh, "Fuzzy sets", Inf. Control, 8, pp.338~353 (1965)

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