Neutrosophic Fuzzy Interval Sets and its Extension through MCDM and Applications in E-Management
A. Manshath1*, K. Rajesh2, M. Logeshwari3, R. Saranya4
1Department of Mathematics Actuarial Science, B.S. Abdur Rahman Institute of Science and Technology, Chennai – 600048, Tamil Nadu, India.
2Department of Mathematics, Government Arts and Science College for Women, Krishnagiri, Tamil Nadu – 635104, India.
3Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to be University), Chennai – 600119, Tamil Nadu, India.
4Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore – 641202, Tamil Nadu, India.
Emails: ameer.manshath@gmail.com; rajeshagm@gmail.com; logeshjimail@gmail.com; sinesaranya@gmail.com
Abstract
we are introducing the model-type operators over Interval-Valued Fuzzy Neutrosophic Sets with time moments [IVFNS] and learn a few of their properties with numerical examples to demonstrate the defined operations and operators. Also introduce various distance measures over the extension of interval neutrosophic sets as well as apply the introduced measures in ecological management in this direct to decide the type of corrosion disturbing some towns for valuable management to be taken, using this normalized distance measures. The extensions of neutrosophic connection values and non-connection values be not used for all time probable positive to our fulfillment, but this concept IVTNFS part has more significant responsibility at this point since the time progress with IVN-fuzzy sets provide the accurate solution in factual situations similarly, conclusion making, career deciding and so on. This is the main reason for taking in the extensions of neutrosophic sets.
Keywords: Intuitionistic Fuzzy Sets (IFS); Temporal Intuitionistic Fuzzy Sets (TIFS); Neutrosophic Set; Interval Valued Neutrosophic Set; Interval Valued Intuitionistic Fuzzy Sets (IVIFS) and Interval Valued Temporal Neutrosophic Fuzzy Sets (IVTNFS).