Fuzzy Soft Ternary Γ-Semirings-I
T. Satish1, D. Madhusudhana Rao2, M. Vasantha3, K. Anuradha4

1T. Satish, Research Scholar, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, SRKR Engineering College, Bhimavaram, W.G. (Andhra Pradesh), India.
2D. Madhusudhana Rao, Department of Mathematics, VSR & NVR College, Tenali, Guntur (Andhra Pradesh), India.
3M. Vasantha, Department of Mathematics, DNR Engineering College, Bhimavaram, W.G. (Andhra Pradesh), India.
4K. Anuradha, Department of Mathematics, Andhra Loyola College, Vijayawada (Andhra Pradesh), India.
Manuscript received on 15 May 2019 | Revised Manuscript received on 09 June 2019 | Manuscript Published on 15 June 2019 | PP: 325-327 | Volume-8 Issue-1S3 June 2019 | Retrieval Number: A10580681S319/2019©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: In this paper, we introduce the notions of FSTΓ-SR (fuzzy soft ternary Γ-semiring), FSL(FSM, FSR) TΓ-ideal (fuzzy soft (left, Lateral, right)TΓ-ideal) over TΓ-SR (ternary Γ-semiring). Further, we proved that the fuzzy Γ-soft set(FΓSS) over TΓ-SR is a FSTΓ-SR (ideal) iff its α-level set is a soft TΓ-SR (ideal) over TΓ-SR for any α ∈ [0, 1]. At the same time, we proved that union and intersection of two FSTΓ-SR (ideals) are both FSTΓ-SR (ideals) under certain conditions. Finally, the results that fuzzy soft image and fuzzy soft inverse image of FSTΓ-SR (ideal) are both FSTΓ-SR (ideals) under certain conditions are obtained.
Keywords: TΓ-SR, FSTΓ-SR, ASTΓ-ideal, Fuzzy Soft Image, Fuzzy Soft Inverse Image.
Scope of the Article: Fuzzy Logics