Some Properties of Two-Fuzzy pre-Hilbert Space

Authors

  • Noori F.AL-Mayahi Department of Mathematics, College of Computer science and Mathematics, AL-Qadisiyah University
  • Layth S.Ibrahaim Department of Mathematics, College of Computer science and Mathematics, AL-Qadisiyah University

Keywords:

fuzzy set, Two-fuzzy pre-Hilbert space, α-norm,

Abstract

We introduce the definition of a two-fuzzy pre Hilbert space (two-fuzzy inner product space) and discuss some properties of this spaces ,and we use the definition of two-fuzzy pre Hilbert space to introduce the definitions of (level complete in two-fuzzy Hilbert , fuzzy orthogonality) . Also, introduce some important theorems with their proofs. Moreover, crisp inner product and orthogonality are established .

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Published

2017-08-20

How to Cite

F.AL-Mayahi, N., & S.Ibrahaim, L. (2017). Some Properties of Two-Fuzzy pre-Hilbert Space. Journal of Al-Qadisiyah for Computer Science and Mathematics, 5(2), 1–7. Retrieved from https://jqcsm.qu.edu.iq/index.php/journalcm/article/view/147

Issue

Vol. 5 No. 2 (2013): JQCM

Section

Math Articles