A new definition of cross entropy for uncertain random variables and its application
Authors:
- 28 June 2018
- journal article
- research article
- Published by SAGE Publications in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
- Vol. 35 (1) , 1193-1204
Abstract
This paper proposes a new definition of cross entropy for uncertain random variables, and derives a formula. Moreover, this paper introduces generalized cross entropy for uncertain random variables, and discusses its properties. Based on the definition of cross entropy, a cross entropy chance distribution model of degree-constrained minimum spanning tree (DCMST) problem is proposed. An algorithm is designed here to solve the model. Finally, a numerical example is provided to illustrate the effectiveness of the proposed model and algorithm.Keywords
This publication has 27 references indexed in Scilit:
- A LEARNING AUTOMATA-BASED ALGORITHM TO THE STOCHASTIC MIN-DEGREE CONSTRAINED MINIMUM SPANNING TREE PROBLEMInternational Journal of Foundations of Computer Science, 2013
- Two Uncertain Programming Models for Inverse Minimum Spanning Tree ProblemIndustrial Engineering & Management Systems, 2013
- Uncertain random programming with applicationsFuzzy Optimization and Decision Making, 2012
- Uncertain random variables: a mixture of uncertainty and randomnessSoft Computing, 2012
- DEGREE-CONSTRAINED MINIMUM SPANNING TREE PROBLEM IN STOCHASTIC GRAPHCybernetics and Systems, 2012
- UNCERTAIN OPTIMAL CONTROL WITH APPLICATION TO A PORTFOLIO SELECTION MODELCybernetics and Systems, 2010
- Existence and uniqueness theorem for uncertain differential equationsFuzzy Optimization and Decision Making, 2010
- Uncertainty Theory2007
- A new evolutionary approach to the degree-constrained minimum spanning tree problemIEEE Transactions on Evolutionary Computation, 2000
- Degree-constrained minimum spanning treeComputers & Operations Research, 1980