Exploring new types of Distance-Hereditary Fuzzy Graph with its humanoid application

Abstract

Fuzzy graph is a prominent invaluable tool in the field of mathematics which encompasses the professionals to represent the fuzzy relationships among different entities efficiently. The intrinsic characteristic of fuzziness is beneficial in any context, aiding in the anticipation and resolution of problems. Distance-Conserving Graphs are connected graphs marked by the quality that all induced paths maintain isometry. Numerous real-world challenges are quite intricate and often include vague information. By merging Distance-Hereditary graphs with fuzzy sets, we propose an innovative concept. In this paper, we have effectively analyzed and presented a new kind of fuzzy graph termed as Distance-Hereditary Fuzzy Graph which will analyze various operations associated with Distance-Hereditary Fuzzy Graphs.