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International Journal of Fuzzy Mathematical Archive
Year : 2017, Volume : 14, Issue : 1
First page : ( 109) Last page : ( 116)
Print ISSN : 2320-3242. Online ISSN : 2320-3250.
Article DOI : 10.22457/ijfma.v14n1a13

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

Maragatham M.1, Gayathri P. Lakshmi2

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

Online published on 7 February, 2019.

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.

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Keywords

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

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