In this paper, we studied some properties of the neutrosophic multi topological group. For this, we introduced the definition of semi-open neutrosophic multiset, semi-closed neutrosophic multiset, neutrosophic multi regularly open set, neutrosophic multi regularly closed set, neutrosophic multi continuous mapping, and then studied the definition of a neutrosophic multi topological group and some of their properties. Moreover, since the concept of the almost topological group is very new, we introduced the definition of neutrosophic multi almost topological group. Finally, for the purpose of symmetry, we used the definition of neutrosophic multi almost continuous mapping to define neutrosophic multi almost topological group and study some of its properties.

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In this paper the concept of fuzzy topological space extended into fuzzy multiset topological space, closed fuzzy multiset, open fuzzy multisets, interior fuzzy multisets, closure of fuzzy multisets and their various properties discuss. Further, we extended the continuous functions to fuzzy multiset continuous function and also discussed subspace of fuzzy multiset topological space

Intuitionistic or pythagorean fuzzy sets are the best tools to deal with uncertainty or ambiguity to solve diverse disciplines of application problems. It is often difficult to compute union, intersection, and complements when it comes to a large number of members contained in the set, also it is difficult to check whether it is a subset or not. Here, we used the C-programming language to overcome the problems, and then it is found that more effective and realistic results have been obtained.

Heat and mass transfer effects of Casson fluid in the entrance of concentric annuli with moviment of inner wall was analyzed here. The problem analysis concerns the simultaneous development of thermal boundary layers and hydrodynamic in concentric walls, one ring is isothermal and the other wall being adiabatic. With the assumption that the inner ring rotates with a fixed angular velocity, also the outer ring is at rest. The finite difference technique is applied to find the velocity Profiles, variation of pressure in the radial coordinate direction and temperature changes in the same direction. Calculation results are obtained for different annular gap values, Casson number and Prandtl's number. The comparison of the results for different special cases was made and observed.