International Journal of Fuzzy Mathematical Archive
Open Access
  • Year: 2017
  • Volume: 14
  • Issue: 1

A New Approach on Multiple Attribute Decision Making with Interval-Valued Knowledge Measure

1Department of Mathematics, Periyar EVR college, Trichy-23, Tamilnadu, India

2Department of Mathematics, Dr. M.G.R. Janaki College, Chennai-28, Tamilnadu, India

AMS Mathematics Subject Classification (2010): 03E72

Abstract

In this paper, firstly some entropy measures and knowledge measure for the interval-valued intuitionistic fuzzy sets are discussed. Also interval-valued intuitionistic fuzzy weighted geometric averaging operator (IVIFWA), interval-valued intuitionistic fuzzy ordered weighted geometric averaging operator (IVIFOWGA) and interval-valued intuitionistic hybrid geometric averaging operator (IVIFHGA) are discussed. Based on the concepts mentioned above, a new multi attribute decision making method for interval-valued intuitionistic fuzzy numbers is proposed. Finally some illustrations are performed to demonstrate the effectiveness of the proposed method.

Keywords

Fuzzy sets, knowledge measure, interval-valued intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy averaging operator, multiple attribute decision making