PROJECT TITLE :

Fuzzy Metric Space Induced by Intuitionistic Fuzzy Points and its Application to the Orienteering Problem

ABSTRACT:

During this paper, a replacement definition for Atanassov intuitionistic fuzzy metric space is presented using the concept of Atanassov intuitionistic fuzzy purpose and Atanassov intuitionistic fuzzy scalars. The space metric introduced here is then applied to an fascinating problem called the orienteering downside that finds application in many industries, like the home delivery system, robot path designing, Tourism business etc., and in every of those sensible applications, the two parameters concerned, i.e., score and distance travelled further as the position of locations cannot be predicted exactly. To tackle these uncertainties, we have a tendency to use trapezoidal Atanassov intuitionistic fuzzy numbers for representing the parameter score. The uniqueness of this paper is that the consideration of uncertainty within the position of a town or a location and handling this sort of uncertainty using the idea of Atanassov intuitionistic fuzzy points and the distance metric between Atanassov intuitionistic fuzzy points. Further, a technique for ranking trapezoidal Atanassov intuitionistic fuzzy numbers has been presented and used for modeling the scores.