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  1. International Journal of Machine Learning and Cybernetics
  2. International Journal of Machine Learning and Cybernetics : Volume 7
  3. International Journal of Machine Learning and Cybernetics : Volume 7, Issue 3, June 2016
  4. Exponential operations of interval-valued intuitionistic fuzzy numbers
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International Journal of Machine Learning and Cybernetics : Volume 8
International Journal of Machine Learning and Cybernetics : Volume 7
International Journal of Machine Learning and Cybernetics : Volume 7, Issue 6, December 2016
International Journal of Machine Learning and Cybernetics : Volume 7, Issue 5, October 2016
International Journal of Machine Learning and Cybernetics : Volume 7, Issue 3, June 2016
Fusing sequential minimal optimization and Newton’s method for support vector training
An improved algorithm for segmenting online time series with error bound guarantee
The structure and realization of a polygonal fuzzy neural network
Towards organizing smart collaboration and enhancing teamwork performance: a GA-supported system oriented to mobile learning through cloud-based online course
Least squares recursive projection twin support vector machine for multi-class classification
Solving 0–1 Knapsack Problem using Cohort Intelligence Algorithm
The generation of band information law and the dynamic hiding of information law
Particle swarm optimization with neighborhood-based budget allocation
Structure learning for weighted networks based on Bayesian nonparametric models
Fuzzy soft set over a fuzzy topological space
Exponential operations of interval-valued intuitionistic fuzzy numbers
International Journal of Machine Learning and Cybernetics : Volume 7, Issue 2, April 2016
International Journal of Machine Learning and Cybernetics : Volume 7, Issue 1, February 2016
International Journal of Machine Learning and Cybernetics : Volume 6
International Journal of Machine Learning and Cybernetics : Volume 5
International Journal of Machine Learning and Cybernetics : Volume 4
International Journal of Machine Learning and Cybernetics : Volume 3
International Journal of Machine Learning and Cybernetics : Volume 2
International Journal of Machine Learning and Cybernetics : Volume 1

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Exponential operations of interval-valued intuitionistic fuzzy numbers

Content Provider SpringerLink
Author Gou, Xunjie Xu, Zeshui Liao, Huchang
Copyright Year 2015
Abstract The operational laws of intuitionistic fuzzy numbers are useful in dealing with the problems under intuitionistic fuzzy circumstances. As a supplementation, the exponential operational law of intuitionistic fuzzy numbers has been defined. Consider that we may utilize interval-valued intuitionistic fuzzy numbers (IVIFNs) to express uncertain weight information comprehensively in the complex multi-attribute decision making problems, in this paper, we discuss two exponential operational laws of IVIFNs, namely, the exponential operational law of IVIFNs with crisp parameter and the exponential operational law of IVIFNs with interval-valued parameter. Several properties and aggregation methods based on the exponential operational laws are discussed. Furthermore, we propose a new method to compare the novel dual interval-valued intuitionistic fuzzy numbers. Additionally, we give two information aggregation methods over these two exponential operational laws for dealing with some special problems in multi-attribute decision making, and finally, we apply the methods to a practical problem involving the choice of the optimal powered roof support for coal extraction with a high recovery rate.
Starting Page 501
Ending Page 518
Page Count 18
File Format PDF
ISSN 18688071
Journal International Journal of Machine Learning and Cybernetics
Volume Number 7
Issue Number 3
e-ISSN 1868808X
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2015-10-03
Publisher Place Berlin, Heidelberg
Access Restriction Subscribed
Subject Keyword Interval-valued intuitionistic fuzzy number Exponential operational law Aggregation method Multi-attribute decision making Computational Intelligence Artificial Intelligence (incl. Robotics) Control, Robotics, Mechatronics Statistical Physics, Dynamical Systems and Complexity Systems Biology Pattern Recognition
Content Type Text
Resource Type Article
Subject Software Artificial Intelligence Computer Vision and Pattern Recognition
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