Neutrosophic Sets and Systems
Abstract
Neutrosophic sets are an important field of topology that deals with inconsistent, indeterminate, and uncertain circumstances in real life. Hypersoft sets have grown in popularity due to their ability to represent data as a collection of trait-valued disjoint sets that combine various attributes. Motivated by this concept, we introduce a new hyper-approach known as hypersoft semi-separated, which employs hypersoft semi-open sets [HSO]. This article presents several local properties of HSO sets, such as hypersoft semi-neighborhoods of hypersoft points and hypersoft semi-first countable spaces. Additionally, definitions of hypersoft semi-connected [HSCO] spaces, hypersoft locally semi-connected [HLSCO] spaces, and associated properties are provided. The comparison between hypersoft-connected [HCO] spaces, HSCO, and HLSCO spaces is presented along with their examples
Recommended Citation
Smarandache, Florentin; V. Inthumathi; and M. Amsaveni. "Hypersoft Semi-Connected Spaces." Neutrosophic Sets and Systems 80, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol80/iss1/4
