This present study extends the dense fuzzy sets (FS) into the Trapezoidal Dense Fuzzy Sets (TpDFS) and it deals with various defuzzification methods based on α-cuts, area of compensation and graded mean integration method Here, Cauchy’s sequence has been employed for all the defuzzification methods. © 2021, Research Publication. All rights reserved.

A Felix

Mathematics

School of Advanced Sciences

Chennai Campus

S. Swethaa

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Journal	Advances in Mathematics: Scientific Journal
Publisher	Research Publication
ISSN	18578365