Affiliations: [a]
Department of Mathematics, Midnapore College(Autonomous), West Bengal, India
| [b]
Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan
Correspondence:
[*]
Corresponding author. Ismat Beg, Centre for Mathematics and Statistical Sciences, Lahore School of Economics, 53200 Lahore, Pakistan. Tel.: +92 345 4161107; Fax: +92 423 6560905; E-mail: ibeg@lahoreschool.edu.pk.
Abstract: This article deals with a new novel defuzzification method for the dense fuzzy sets. In our study, we first define the dense fuzzy set for triangular fuzzy numbers. Then new defuzzification methods have been formulated with crisp convergence tests. Cauchy sequence has been utilized for better illustrations. We show the usefulness and the global justification of newly introduced methods. Applications of new methods in decision making, psychological test, military selection, cryptography, photography, crime research, filtering of noisy environment and risk analysis have been given as its key indexes.
