Fuzziness and randomness in an optimization framework
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
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
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
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
Fuzzy random delayed renewal process and fuzzy random equilibrium renewal process
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Information Sciences: an International Journal
Information Sciences: an International Journal
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
Fuzzy random renewal process with queueing applications
Computers & Mathematics with Applications
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
T-norm-based limit theorems for fuzzy random variables
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Ergodic distribution for a fuzzy inventory model of type (s,S) with gamma distributed demands
Expert Systems with Applications: An International Journal
Fuzzy numbers from raw discrete data using linear regression
Information Sciences: an International Journal
Information Sciences: an International Journal
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This paper studies a renewal reward process with fuzzy random interarrival times and rewards under the @?-independence associated with any continuous Archimedean t-norm @?. The interarrival times and rewards of the renewal reward process are assumed to be positive fuzzy random variables whose fuzzy realizations are @?-independent fuzzy variables. Under these conditions, some limit theorems in mean chance measure are derived for fuzzy random renewal rewards. In the sequel, a fuzzy random renewal reward theorem is proved for the long-run expected reward per unit time of the renewal reward process. The renewal reward theorem obtained in this paper can degenerate to that of stochastic renewal theory. Finally, some application examples are provided to illustrate the utility of the result.