A Hendecagonal Fuzzy Number and Its Vertex Method


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Authors

  • A. Victor Devadoss PG & Research Department of Mathematics, Loyola College, Chennai, Tamil Nadu, India
  • A. D. Dhivya PG & Research Department of Mathematics, Loyola College, Chennai, Tamil Nadu, India
  • A. Felix School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, India

Keywords:

Fuzzy Arithmetic, Linguistic values, Hendecagonal Fuzzy Number $(H_DFN)$, $\alpha-$cut

Abstract

The decision data of human judgements with preferences are often vague so that the usual ways of using crisp values are inadequate in many real life situation. Also using fuzzy numbers such as triangular, trapezoidal are not suitable in few cases where the uncertainties arises in eleven different points. Therefore, Hendecagonal Fuzzy Number $(H_DFN)$ and its arithmetic operations based on $\alpha -$cut is introduced. Also, the linguistic terms can be expressed in hendecagonal fuzzy numbers and a vertex method is defined to calculate the distance between two hendecagonal fuzzy numbers.

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Published

15-02-2016

How to Cite

A. Victor Devadoss, A. D. Dhivya, & A. Felix. (2016). A Hendecagonal Fuzzy Number and Its Vertex Method. International Journal of Mathematics And Its Applications, 4(1 - B), 87–98. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/572

Issue

Vol. 4 No. 1 - B (2016)

Section

Research Article

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.