Replenishment of Bhadla Solar Park using interval valued neutrosophic threshold graph

R. Keerthana, S. Venkatesh and R.U. Gobithaasan

International Journal of Mathematics in Operational Research, 2026, vol. 34, issue 2, 137-153

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. (search for similar items in EconPapers)
Date: 2026
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