Fuzzy random renewal reward process and its applications

DOI10.1016/J.INS.2009.08.016zbMath1189.60012OpenAlexW2143880419MaRDI QIDQ845310

Shuming Wang, Junzo Watada

Publication date: 28 January 2010

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2009.08.016

zbMATH Keywords

renewal processArchimedean t-normfuzzy random variablerenewal reward theoremT-independence

Mathematics Subject Classification ID

Renewal theory (60K05) Fuzzy probability (60A86) Inference from stochastic processes and fuzziness (62M86)

Related Items (11)

First hitting time for renewal process with uncertain interarrival times and random rewards ⋮ Investigation of fuzzy inventory model of type (s, S) with Nakagami distributed demands ⋮ Some properties of fuzzy alternating renewal processes ⋮ Uncertain renewal process with general rewards ⋮ A fuzzy random resource-constrained scheduling model with~multiple projects and its application to a working procedure in a large-scale water conservancy and hydropower construction project ⋮ Fuzzy numbers from raw discrete data using linear regression ⋮ Interactive fuzzy random two-level linear programming based on level sets and fractile criterion optimization ⋮ Fuzzy valued probability ⋮ Renewal reward process for \(T\)-related fuzzy random variables on \((\mathbb R^p,\mathbb R^q)\) ⋮ First hitting time of uncertain random renewal reward process and its application in insurance risk process ⋮ Reliability analysis of random fuzzy unrepairable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fuzziness and randomness in an optimization framework
• Strong law of large numbers for t-normed arithmetics
• Renewal process with \(T\)-related fuzzy inter-arrival times and fuzzy rewards
• Advances in type-2 fuzzy sets and systems
• Probabilistic foundations for measurement modelling with fuzzy random variables
• Fuzzy random renewal process with queueing applications
• The modes of convergence in the approximation of fuzzy random optimization problems
• Statistics with vague data
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy random variables - II. Algorithms and examples for the discrete case
• Equivalences in strong limit theorems for renewal counting processes
• Constructive definitions of fuzzy random variables
• Pairs of renewal processes whose superposition is a renewal process
• Triangular norms
• A theorem of renewal process for fuzzy random variables and its application
• The law of large numbers for fuzzy numbers with unbounded supports
• Grey-scale morphology based on fuzzy logic
• Renewal reward processes with fuzzy rewards and their applications to \(T\)-age replacement policies
• On minimum-risk problems in fuzzy random decision systems
• Superposed continuous renewal processes: A Markov renewal approach
• Arithmetic operators in interval-valued fuzzy set theory
• Choice of conjunctive operator of TSK fuzzy systems and stability domain study
• POSSIBILITY THEORY III: POSSIBILISTIC INDEPENDENCE
• RENEWAL PROCESS WITH FUZZY INTERARRIVAL TIMES AND REWARDS
• Fuzzy random variables

This page was built for publication: Fuzzy random renewal reward process and its applications