Mathematical Morphological Operations for Quadri -Partitioned Neutrosophic Set
Panimalar A.1, Mohana K.2, Parvathi R.3, Santhosh Kumar S.1*
1*Department of Mathematics, Sri Ramakrishna Mission Vidhyalaya College of Arts and Science,Coimbatore-641002, India.
2Department of Mathematics,Nirmala College for WomenCoimbatore-641018,Tamilnadu,, India.
3Department of Mathematics ,Vellalar College for Women(Autonomous),Erode-638012,Tamilnadu, India.
Emails: fuzzysansrmvcas@gmail.com; panimalar81@gmail.com; riyaraju@gmail.com; parvathys@rediffmaill.com
Abstract
This research aims to introduce a novel notion in mathematical morphological operations on a quadri-partitioned neutrosophic set, which is a particular case of the neutrosophic refined set. In neutrosophic theory, the set is divided into three parts: the true set, the false set, and the indeterminancy set. The indeterminacy is studied in depth in quadri neutrosophic. The primary intention is to reduce uncertainty. The suggested study extracts the core concepts of morphological operations and explains their algebraic properties. Some features of morphological operators linked to quadri-partitioned neutrosophic sets are also derived.
Keywords: Mathematical morphological operations; Quadri partitioned neutrosophic set.