b
nderstand the basic concepls of Uncertainty, Fuzzy Sets and Interval Analysis.
amiliarize with various typcs of Fuzzy sets and their applications.
tudy various measures of distance and ranking of various Fuzzy Sets.
nto Interval arithmetic and Interval analysis, Interval Number System, Interval
aithmetic operations, Applications of Interval Analysis.
rval Analysis, Interval based Uncertain Reasoning using Fuzzy and Rough Sets,
zzy Segments, Uncertainty measures for interval type-2 fuzzy sets.
on to Hesitant Fuzzy set (HFS), Hesitant fuzzy aggregation operators, distance,
correlation, entropy measures for Hesitant fuzzy information, Hesitant preference
Type-2 Hesitant fuzzy sets, ranking methods of HFS, Application to HFS on
on problems.
ion to Pythagorean Fuzzy sets (PFS), Negation of PFS, set operation and properties on
malization of PFS, n-Pythagorean fuzzy sets, Pythagorean fuzzy subsets, Linguistic
ilarity Measure of PFS, distance between PFS, ranking methods of PFS, Application to
cision making, TOPSIS, VIKOR Models, etc.
valued neutrosophic number, Triangular single-valued neutrosophic number, and
es, Trapezoidal single-valued neutrosophic number and properties, Interval-valued
ophic sets, Distances, Hesitancy Degree and Cardinality for Neutrosophic Sets, ranking
sof NFS, Applications to Neutrosophic set on optimization problems.
rse Outcomes:
ccessful completion of the course, Student will be able to
Understand basic concepts of Uncertainty, Fuzzy Sets and Interval Analysis.
Apply various distance and ranking measures in the analysis of Fuzzy
System.
Develop Fuzzy Models.
ference Books:
. Zadeh, L.A. Fuzzy sets. Inf. Control 1965,
8,338-353.
. Moore, Ramon E, R.
Baker Kearfott and Michael J. Cloud.
"Introduction to interval
analysis", Society for Industrial and Applied
3. Zeshui Xu,
Mathematics Philadelphia, 2009.
4. Florentin Chengdu, Hesitant Fuzzy Sets Theory, Springer Publications, 2014.
Smarandache,
Sets and Systems", An
in Information
Science
and
Intemational Book Series
5.
Engineering, vol.
6.
"Neutrosophic
Pythagorean Fuzzy 21,2018.
Sets Theory
Garg, Harish (Ed.),
Publications, 2021
Michael Gr Voskoglou, An
Inc, 2019.
Essential Guide to Fuzzy
and
Applications, Springer