Ibrahim Noaman¹, Abd El Fattah El Atik², Tamer Medhat^3,*, Manal E. Ali⁴

CMC-Computers, Materials & Continua, Vol.74, No.3, pp. 6893-6908, 2023, DOI:10.32604/cmc.2023.033539

Abstract This article focuses on the relationship between mathematical morphology operations and rough sets, mainly based on the context of image retrieval and the basic image correspondence problem. Mathematical morphological procedures and set approximations in rough set theory have some clear parallels. Numerous initiatives have been made to connect rough sets with mathematical morphology. Numerous significant publications have been written in this field. Others attempt to show a direct connection between mathematical morphology and rough sets through relations, a pair of dual operations, and neighborhood systems. Rough sets are used to suggest a strategy to approximate mathematical morphology within the general… More >

Arif Mehmood¹, Saleem Abdullah², Choonkil Park^3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.1, pp. 411-428, 2022, DOI:10.32604/cmes.2022.016967

Abstract Fuzzy soft topology considers only membership value. It has nothing to do with the non-membership value. So an extension was needed in this direction. Vague soft topology addresses both membership and non-membership values simultaneously. Sometimes vague soft topology (single structure) is unable to address some complex structures. So an extension to vague soft bi-topology (double structure) was needed in this direction. To make this situation more meaningful, a new concept of vague soft bi-topological space is introduced and its structural characteristics are attempted with a new definition. In this article, new concept of vague soft bi-topological space (VSBTS) is initiated… More >

Arif Mehmood¹, Muhammad Aslam², Muhammad Imran Khan³, Humera Qureshi³, Choonkil Park^4,*, Jung Rye Lee⁵

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.3, pp. 1565-1585, 2022, DOI:10.32604/cmes.2022.018518

Abstract In this article, new generalized neutrosophic soft * _b open set is introduced in neutrosophic soft bi-topological structurers (NSBTS) concerning soft points of the space. This new set is produced by making the marriage of soft semi-open set with soft pre-open set in neutrosophic soft topological structure. An ample of results are investigated in NSBTS on the basis of this new neutrosophic soft * _b open set. Proper examples are settled for justification of these results. The non-validity of some results is vindicated with examples. More >