Neutrosophic Fuzzy Numbers and its Impact on Transportation Problem
Krishnaveni G.1, Balaganesan M.2, Melita Vinoliah E.3*, Sudha G.4
1 Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India
2 Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India
3* Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India
4 Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur- 603203, Chengalpattu, Tamil Nadu, India
Emails: krishnag2@srmist.edu.in; balaganm@srmist.edu.in; melitav@srmist.edu.in; sudhag@srmist.edu.in
Abstract
The neutrosophic fuzzy set offers us a broad outline for combining several existing sets into one. Indeterminate and unpredictable data cannot be dealt with by either the fuzzy set theory or intuitionistic fuzzy set theory. The computing techniques of neutrosophic sets are valid for software development for many uses. The transportation problem profoundly depends on the neutrosophic fuzzy set. Most of the time, the data provided is indeterminate and inconsistent. At this point of time, we cannot make use of the fuzzy set and intutionistic fuzzy set to get deal with this indeterminacy. Here, we have solved numerically to reflect the impact of neutrosophic pentagonal numbers and neutrosophic octagonal numbers. The efficiency of the method is applied is also compared with the other methods.
Keywords: Neutrosophic Fuzzy Sets; Transportation Problem; Fuzzy optimal Solution