Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost

In order to solve the problems in fuzzy computation tree logic model checking with cost operator, we propose a fuzzy decision process computation tree logic model checking method with cost. Firstly, we introduce a fuzzy decision process model with cost, which can not only describe the uncertain choi...

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Main Authors: Zhanyou Ma, Zhaokai Li, Weijun Li, Yingnan Gao, Xia Li
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/9/1183
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author Zhanyou Ma
Zhaokai Li
Weijun Li
Yingnan Gao
Xia Li
author_facet Zhanyou Ma
Zhaokai Li
Weijun Li
Yingnan Gao
Xia Li
author_sort Zhanyou Ma
collection DOAJ
description In order to solve the problems in fuzzy computation tree logic model checking with cost operator, we propose a fuzzy decision process computation tree logic model checking method with cost. Firstly, we introduce a fuzzy decision process model with cost, which can not only describe the uncertain choice and transition possibility of systems, but also quantitatively describe the cost of the systems. Secondly, under the model of the fuzzy decision process with cost, we give the syntax and semantics of the fuzzy computation tree logic with cost operators. Thirdly, we study the problem of computation tree logic model checking for fuzzy decision process with cost, and give its matrix calculation method and algorithm. We use the example of medical expert systems to illustrate the method and model checking algorithm.
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spelling doaj.art-4bb411c609d34474ae46a130c6b4e4ae2023-11-23T16:07:22ZengMDPI AGEntropy1099-43002022-08-01249118310.3390/e24091183Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with CostZhanyou Ma0Zhaokai Li1Weijun Li2Yingnan Gao3Xia Li4School of Computer Science and Engineering, North Minzu University, Yinchuan 750000, ChinaSchool of Computer Science and Engineering, North Minzu University, Yinchuan 750000, ChinaSchool of Computer Science and Engineering, North Minzu University, Yinchuan 750000, ChinaSchool of Computer Science and Engineering, North Minzu University, Yinchuan 750000, ChinaSchool of Computer Science and Engineering, North Minzu University, Yinchuan 750000, ChinaIn order to solve the problems in fuzzy computation tree logic model checking with cost operator, we propose a fuzzy decision process computation tree logic model checking method with cost. Firstly, we introduce a fuzzy decision process model with cost, which can not only describe the uncertain choice and transition possibility of systems, but also quantitatively describe the cost of the systems. Secondly, under the model of the fuzzy decision process with cost, we give the syntax and semantics of the fuzzy computation tree logic with cost operators. Thirdly, we study the problem of computation tree logic model checking for fuzzy decision process with cost, and give its matrix calculation method and algorithm. We use the example of medical expert systems to illustrate the method and model checking algorithm.https://www.mdpi.com/1099-4300/24/9/1183fuzzy model checkingfuzzy decision processesfuzzy computation tree logiccost operator
spellingShingle Zhanyou Ma
Zhaokai Li
Weijun Li
Yingnan Gao
Xia Li
Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
Entropy
fuzzy model checking
fuzzy decision processes
fuzzy computation tree logic
cost operator
title Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
title_full Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
title_fullStr Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
title_full_unstemmed Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
title_short Model Checking Fuzzy Computation Tree Logic Based on Fuzzy Decision Processes with Cost
title_sort model checking fuzzy computation tree logic based on fuzzy decision processes with cost
topic fuzzy model checking
fuzzy decision processes
fuzzy computation tree logic
cost operator
url https://www.mdpi.com/1099-4300/24/9/1183
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AT zhaokaili modelcheckingfuzzycomputationtreelogicbasedonfuzzydecisionprocesseswithcost
AT weijunli modelcheckingfuzzycomputationtreelogicbasedonfuzzydecisionprocesseswithcost
AT yingnangao modelcheckingfuzzycomputationtreelogicbasedonfuzzydecisionprocesseswithcost
AT xiali modelcheckingfuzzycomputationtreelogicbasedonfuzzydecisionprocesseswithcost