Fuzziness and randomness in an optimization framework
Fuzzy Sets and Systems
Shape preserving additions of fuzzy intervals
Fuzzy Sets and Systems
A theorem of renewal process for fuzzy random variables and its application
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
The law of large numbers for fuzzy numbers with unbounded supports
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision
Renewal process with fuzzy interarrival times and rewards
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
On minimum-risk problems in fuzzy random decision systems
Computers and Operations Research
Measurability criteria for fuzzy random vectors
Fuzzy Optimization and Decision Making
Probabilistic foundations for measurement modelling with fuzzy random variables
Fuzzy Sets and Systems
Arithmetic operators in interval-valued fuzzy set theory
Information Sciences: an International Journal
Optimizing a priority-discipline queueing model using fuzzy set theory
Computers & Mathematics with Applications
Strong law of large numbers for t-normed arithmetics
Fuzzy Sets and Systems
Choice of conjunctive operator of TSK fuzzy systems and stability domain study
Mathematics and Computers in Simulation
Establishing performance evaluation structures by fuzzy relation-based cluster analysis
Computers & Mathematics with Applications
The modes of convergence in the approximation of fuzzy random optimization problems
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on Uncertainty Analysis and Decision Making; Guest Editors: Yan-Kui Liu, Baoding Liu, Jinwu Gao
Renewal process with T-related fuzzy inter-arrival times and fuzzy rewards
Information Sciences: an International Journal
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Some properties of fuzzy random renewal processes
IEEE Transactions on Fuzzy Systems
Modelling redundancy allocation for a fuzzy random parallel-series system
Journal of Computational and Applied Mathematics
Fuzzy random renewal reward process and its applications
Information Sciences: an International Journal
Building confidence-interval-based fuzzy random regression models
IEEE Transactions on Fuzzy Systems
T-norm-based limit theorems for fuzzy random variables
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Semivariance criteria for quantifying the choice among uncertain outcomes
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Ergodic distribution for a fuzzy inventory model of type (s,S) with gamma distributed demands
Expert Systems with Applications: An International Journal
The law of large numbers and renewal process for T-related weighted fuzzy numbers on Rp
Information Sciences: an International Journal
Hi-index | 0.09 |
Using extension principle associated with a class of continuous Archimedean triangular norms, this paper studies a fuzzy random renewal process in which the interarrival times are assumed to be independent and identically distributed fuzzy random variables. Some limit theorems in chance measure and in expected value for the sum of fuzzy random variables are proved on the basis of the continuous Archimedean triangular norm based arithmetics. Furthermore, we discuss the fuzzy random renewal process based on the obtained limit theorems, and derive a fuzzy random elementary renewal theorem for the long-run expected renewal rate. The renewal theorem obtained in this paper can degenerate to the corresponding classical result in stochastic renewal process. Finally, two case studies of queueing systems are provided to illustrate the application of the fuzzy random elementary renewal theorem.