Bell-shaped Fuzzy Soft Sets and Their Application in Medical Diagnosis

Peer review under responsibility of Fuzzy Information and Engineering Branch of the Operations Research Society of China.

Abstract

A soft set theory is a new general mathematical tool to dealing with imprecision. The theory differs from traditional mathematical tools to dealing with uncertainties in which many mathematical theories failed. In this paper, we proposed the concept of Bell shaped fuzzy soft set and its application in medical diagnosis using arithmetic operations of discrete- Gaussian fuzzy number, triangular-Cauchy fuzzy number and Gaussian-Cauchy fuzzy number. As an integral part of this paper, we discuss the parametric form of Gaussian membership function is discussed with some important properties.

Keywords:

• Fuzzy soft set
• Bell-shaped fuzzy soft set
• Gaussian fuzzy number
• Cauchy fuzzy number

Notes

Peer review under responsibility of Fuzzy Information and Engineering Branch of the Operations Research Society of China.