Browsing by Author "Alam,S."
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Article Citation Count: 0Metric Space and Calculus of Type-2 Interval-Valued Functions(World Scientific, 2024) Salahshour, Soheıl; Das,M.; Alam,S.; Salahshour,S.; Mondal,S.P.This paper attempts an extensive study on metric space and calculus under Type 2 interval uncertainty. Type 2 interval generalizes interval uncertainty considering both ends of the interval number to be imprecise. Type 2 interval philosophy was introduced in the literature with optimization perspectives. We prioritize the study of Type 2 interval-ruled dynamical systems. The concerns necessitate an extensive introduction of metric space and calculus for Type 2 interval-valued functions. We investigate several fundamental properties of metric space in the contemporary of Type 2 interval setting. After significant findings in differential calculus using generalized Hukuhara difference of Type 2 interval numbers, a detailed and novel manifestation of integral calculus including Riemann and Lebesgue senses is also done in this paper. We also provide hints for possible mathematical modelings of real-world scenarios using Type 2 interval-ruled uncertain decision realm. © 2024 World Scientific Publishing Company.
