Abstract

The evaluation is an important approach to promote the development of the E-Government. Since the rapid development of E-Government in the world, the E-Government performance evaluation has become a hot issue in the academia. In this paper, we develop a new evaluation method for the development of the E-Government based on the interval-valued intuitionistic fuzzy set which is a powerful technique in expressing the uncertainty of the real situation. First, we extend the geometric Heronian mean (GHM) operator to interval-valued intuitionistic fuzzy environment and proposed the interval-valued intuitionistic fuzzy GHM (IIFGHM) operator. Then, we investigate the relationships between the IIFGHM operator and some existing ones, such as generalized interval-valued intuitionistic fuzzy HM (GIIFHM) and interval-valued intuitionistic fuzzy weighted Bonferoni mean operator. Furthermore, we validate the effectiveness of the proposed method using a real case about the E-Government evaluation in Hangzhou City, China.

Highlights

  • Intuitionistic fuzzy set (IFS), an extension of Zadeh’s fuzzy set, was first proposed by Atanassov [1]

  • We extend the Heronian mean (HM) mean operator to adapt it to interval-valued intuitionistic fuzzy environment and study the E-Government evaluation method based on interval-valued IFS (IIFS) theory

  • In order to deal with the situation of interval-valued intuitionistic fuzzy environment, we extend the geometric Heronian mean (GHM) and propose the interval-valued intuitionistic fuzzy GHM as follows

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Summary

Introduction

Intuitionistic fuzzy set (IFS), an extension of Zadeh’s fuzzy set, was first proposed by Atanassov [1]. We extend the HM mean operator to adapt it to interval-valued intuitionistic fuzzy environment and study the E-Government evaluation method based on IIFS theory. 2. The Interval-Valued Intuitionistic Fuzzy Geometric Heronian Mean Operator

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