Title: Replenishment of Bhadla Solar Park using interval valued neutrosophic threshold graph

Authors: R. Keerthana; S. Venkatesh; R.U. Gobithaasan

Addresses: Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA (Deemed to be University), Kumbakonam, India ' Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA (Deemed to be University), Kumbakonam, India ' School of Mathematical Sciences, Universiti Sains Malaysia, 11800, USM Penang, Malaysia

Abstract: In this article, an interval valued neutrosophic threshold graph (IVNTG) G, a novel perspective on interval valued neutrosophic graph has been newly introduced. The concept of interval valued intuitionistic fuzzy threshold graph (IVIFTG) G′, a special case of IVNTG is also defined together with alternating four-cycle, threshold dimension and threshold partition number for IVNG and IVIFG. Further, the bounds γ(G) ≤ η - | ϵ(G) | and β(G′) ≤ ν - | δ(G′) | are found and the equality becomes true only when G and G′ are triangle - free graph. To demonstrate a practical significance, the article uses IVNTG to solve the replenishment problem on Bhadla Solar Park, an application which contributes towards SDGs, 7, 8 and 13 and the proposed algorithm helps to determine the allocation, consumption and distribution of solar energy in Bhadla Solar Park.

Keywords: interval valued intuitionistic fuzzy threshold graph; IVIFTG; interval valued neutrosophic threshold graph; IVNTG; Sustainable Development Goals; SDG; Bhadla Solar Park.

DOI: 10.1504/IJMOR.2026.154504

International Journal of Mathematics in Operational Research, 2026 Vol.34 No.2, pp.137 - 153

Received: 12 Jul 2024
Accepted: 07 Aug 2024
Published online: 02 Jul 2026 *

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