In this article, for the analysis of Covid-19 progression in India, we present new insights to formulate a data-driven epidemic model and approximation algorithm using the real data on infection, recovery and death cases with respect to weather in the view of mathematical variables.

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The main aim of this paper is to introduced the operations "Union" and "Intersection," and four operators O 1 , O 2 , O 3 , O 4 on interval-valued hesitant fuzzy soft sets and discuss some of their properties.

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put forward by Kharal and Ahmad [5] have been reintroduced in hesitant fuzzy soft classes.

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