Operations on Multisets and Fuzzy Multisets


Abstract views: 77 / PDF downloads: 63

Authors

  • Pratik Singh Thakur Department of Mathematics, Govt. V.Y.T. PG. Autonomous College, Durg, Chhattisgarh, India
  • Rohit Kumar Verma Department of Mathematics, Govt. Chandulal Chandrakar Arts and Science College, Patan, Chhattisgarh, India
  • Rakesh Tiwari Department of Mathematics, Govt. V.Y.T. PG. Autonomous College, Durg, Chhattisgarh, India

Keywords:

Fuzzy Multisets, fuzzy sets, multisets

Abstract

This paper presents a comprehensive redefinition of Yagar's bag theory [5] by introducing novel notations and adopting the terminology of multisets. The primary objective of this study is to provide a solid foundation for understanding multisets, catering to those interested in delving into the core principles of this concept. We compare two variants of multisets: fuzzy multisets and crisp multisets, and explore their distinct characteristics. Additionally, we investigate various operations on multisets, including those involving fuzzy multisets. Furthermore, we discuss the significance of multiset relations in the context of data set theory.

Downloads

Published

09-08-2023

How to Cite

Pratik Singh Thakur, Rohit Kumar Verma, & Rakesh Tiwari. (2023). Operations on Multisets and Fuzzy Multisets. International Journal of Mathematics And Its Applications, 11(3), 45–58. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1198

Issue

Section

Research Article