Interval type 2 fuzzy sets and interval Neutrosophic sets in intelligent systems

Abstract

In this thesis, interval type-2 fuzzy sets (IT2FSs) and interval neutrosophic sets newline(INSs) have been considered for all the proposed concepts. Fusion of information newlineis an essential task to get the optimized solution for any real world problem. In newlinethis task, aggregation operators are playing an important role in all the fields. newlineSince most of the realistic problems have uncertainty in nature, one can use the newlinelogic of fuzzy and neutrosophic theory. For the entire proposed concepts interval newlinebased logic has been used as it handles more uncertainty. Finding a shortest path newlinein a network system is an important work for all the transactions or newlinetransportations. The study has proposed (i) derived aggregation operators based newlineon Schweizer Sklar triangular norms. The same concept has been extended to newlineinterval valued neutrosophic environment using Schweizer Sklar triangular newlinenorms. A new score function has been introduced for interval neutrosophic newlinenumbers. Also the role of the proposed aggregation operators in traffic control newlinemanagement has been analyzed as the mathematical properties are representing newlinethe qualities of the system. Furthermore, a comparative analysis has been done for newlinedifferent types of sets with their advantages and limitations, (ii) Dombi interval newlinevalued neutrosophic graph (IVNG) and its operations. Here Cartesian and newlinecomposition products have been derived and the validity has been verified with newlinethe numerical validation, (iii) Blockchain single and interval valued neutrosophic newlinegraphs are proposed and applied in transaction of Bitcoins in Blockchain technology, (iv) new aggregation operators for triangular interval type-2 fuzzy newlinenumbers using Yager triangular norms with their desirable properties. Also edge newlinedetection is done for the image which is based on digital imaging and newlinecommunications in medicine (DICOM) using MATLAB 2015a under triangular newlineinterval type-2 fuzzy environment. Further the role of the mathematical properties newlineof the proposed aggregation operators has been related to qualities of the medical newlineimage