Top

Soft Computing

Published in:

18-04-2020 | Methodologies and Application

A modified method of generating Z-number based on OWA weights and maximum entropy

Authors: Ye Tian, Bingyi Kang

Published in: Soft Computing | Issue 20/2020

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

How to generate Z-number is an important and open issue in the uncertain information processing of Z-number. In Kang et al. (Int J Intell Syst 33(8):1745–1755, 2018), a method of generating Z-number using OWA weight and maximum entropy is investigated. However, the meaning of the method in Kang et al. (2018) is not clear enough according to the definition of Z-number. Inspired by the methodology in Kang et al. (2018), we modify the method of determining Z-number based on OWA weights and maximum entropy, which is more clear about the meaning of Z-number. In addition, the model of generating Z-number under the environment of group decision making is well investigated based the modified model. Some numerical examples are used to illustrate the effectiveness of the proposed methodology.

previous article Frequency domain CNN and dissipated energy approach for damage detection in building structures

next article Industrial time series forecasting based on improved Gaussian process regression

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Abiyev RH (2016) Number based fuzzy inference system for dynamic plant control. Adv Fuzzy Syst. https://doi.org/10.1155/2016/8950582CrossRefMATH

Aliev R, Memmedova K (2015) Application of z-number based modeling in psychological research. Comput Intell Neurosci 1–7:2015

Aliev RA, Alizadeh AV, Huseynov OH (2015a) The arithmetic of discrete z-numbers. Inf Sci 290:134–155MathSciNetMATHCrossRef

Aliev RA, Alizadeh AV, Huseynov OH, Jabbarova KI (2015b) Z-number-based linear programming. Int J Intell Syst 30(5):563–589CrossRef

Aliev RA, Huseynov OH, Zeinalova LM (2016) The arithmetic of continuous z-numbers. Inf Sci 373:441–460MATHCrossRef

Aliev RA, Pedrycz W, Huseynov OH, Eyupoglu SZ (2017a) Approximate reasoning on a basis of z-number-valued if-then rules. IEEE Trans Fuzzy Syst 25(6):1589–1600CrossRef

Aliev RA, Pedrycz W, Huseynov OH (2017b) Functions defined on a set of z-numbers. Inf Sci 423:353–375MathSciNetMATHCrossRef

Ashraf S, Mahmood T, Abdullah S, Khan Q (2019a) Different approaches to multi-criteria group decision making problems for picture fuzzy environment. Bull Braz Math Soc New Ser 50(2):373–397MathSciNetMATHCrossRef

Ashraf S, Abdullah S, Mahmood T, Ghani F, Mahmood T (2019b) Spherical fuzzy sets and their applications in multi-attribute decision making problems. J Intell Fuzzy Syst 36(3):2829–2844CrossRef

Ashraf S, Abdullah S, Smarandache F et al (2019c) Logarithmic hybrid aggregation operators based on single valued neutrosophic sets and their applications in decision support systems. Symmetry 11(3):364CrossRef

Azadeh A, Kokabi R (2016) Z-number dea: a new possibilistic dea in the context of z-numbers. Adv Eng Inform 30(3):604–617 CrossRef

Aziz AR, Akif A, Rafig AR (2015) Arithmetic of Z-numbers, the: theory and applications. World Scientific

Banerjee R, Pal SK (2015) Z*-numbers: augmented z-numbers for machine-subjectivity representation. Inf Sci 323:143–178MathSciNetCrossRef

Buriboev A, Kang HK, Ko M-C, Oh R, Abduvaitov A, Jeon HS (2019) Application of fuzzy logic for problems of evaluating states of a computing system. Appl Sci 9(15):3021CrossRef

Dong W, Liu X, Xue F, Zheng H, Shou Y, Jiang W (2018) A new medical diagnosis method based on z-numbers. Applied Intelligence 48(4):854–867CrossRef

Fahmi A, Abdullah S, Amin F, Ali A, Ahmad R, Shakeel M (2019) Trapezoidal cubic hesitant fuzzy aggregation operators and their application in group decision-making. J Intell Fuzzy Syst 36(4):3619–3635CrossRef

Filev D, Yager RR (1995) Analytic properties of maximum entropy OWA operators. Inf Sci 85(1–3):11–27MATHCrossRef

Filev D, Yager RR (1998) On the issue of obtaining OWA operator weights. Fuzzy Sets Syst 94(2):157–169MathSciNetCrossRef

Fullér R, Majlender P (2001) An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst 124(1):53–57MathSciNetMATHCrossRef

Gao X, Wang R, Gao J, Gao Z, Deng W (2019) A novel framework for the reliability modelling of repairable multistate complex mechanical systems considering propagation relationships. Qual Reliabil Eng Int 35(1):84–98CrossRef

Hesamian G, Akbari MG (2019) Principal component analysis based on intuitionistic fuzzy random variables. Comput Appl Math 38(4):158MathSciNetMATHCrossRef

Hilletofth P, Sequeira M, Adlemo A (2019) Three novel fuzzy logic concepts applied to reshoring decision-making. Expert Syst Appl 126:133–143 CrossRef

Jiang W, Xie C, Zhuang M, Shou Y, Tang Y (2016) Sensor data fusion with z-numbers and its application in fault diagnosis. Sensors 16(9):1509CrossRef

Jiang W, Xie C, Luo Y, Tang Y (2017a) Ranking z-numbers with an improved ranking method for generalized fuzzy numbers. J Intell Fuzzy Syst 32(3):1931–1943MATHCrossRef

Jiang W, Xie C, Wei B, Tang Y (2017b) Failure mode and effects analysis based on z-numbers. Intell Autom Soft Comput, pp 1–8

Jiang W, Cao Y, Deng X (2019) A novel z-network model based on bayesian network and z-number. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2019.2918999

Kang B, Yong H, Deng Y, Zhou D (2016) A new methodology of multicriteria decision-making in supplier selection based on z-numbers. Math Problems Eng 2016:1–17MathSciNetMATH

Kang B, Deng Y, Hewage K, Sadiq R (2018a) Generating z-number based on owa weights using maximum entropy. Int J Intell Syst 33(8):1745–1755CrossRef

Kang B, Chhipi-Shrestha G, Deng Y, Hewage K, Sadiq R (2018b) Stable strategies analysis based on the utility of z-number in the evolutionary games. Appl Math Comput 324:202–217MathSciNetMATH

Kang B, Deng Y, Sadiq R (2018c) Total utility of z-number. Appl Intell 48(3):703–729CrossRef

Kang B, Deng Y, Hewage K, Sadiq R (2019a) A method of measuring uncertainty for z-number. IEEE Trans Fuzzy Syst 27(4):731–738 CrossRef

Kang B, Zhang P, Gao Z, Chhipi-Shrestha G, Hewage K, Sadiq R (2019b) Environmental assessment under uncertainty using Dempster–Shafer theory and z-numbers. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-019-01228-y

Khan MSA, Abdullah S, Ali A (2019c) Multiattribute group decision-making based on pythagorean fuzzy einstein prioritized aggregation operators. Int J Intell Syst 34(5):1001–1033CrossRef

Khan AA, Abdullah S, Shakeel M, Khan F, Luo J et al (2019d) A new ranking methodology for pythagorean trapezoidal uncertain linguistic fuzzy sets based on einstein operations. Symmetry 11(3):440MATHCrossRef

Khan F, Khan MSA, Shahzad M, Abdullah S (2019e) Pythagorean cubic fuzzy aggregation operators and their application to multi-criteria decision making problems. J Intell Fuzzy Syst 36(1):595–607CrossRef

Li Z, Chen L (2019) A novel evidential FMEA method by integrating fuzzy belief structure and grey relational projection method. Eng Appl Artif Intell 77:136–147CrossRef

Liu Q, Tian Y, Kang B (2019) Derive knowledge of z-number from the perspective of dempster-shafer evidence theory. Eng Appl Artif Intell 85:754–764CrossRef

Ma X, Zhan J, Khan M, Zeeshan M, Anis S, Awan AS (2019) Complex fuzzy sets with applications in signals. Comput Appl Math 38(4):150MathSciNetMATHCrossRef

Mahler K (1968) An unsolved problem on the powers of 3/2*. J Aust Math Soc 8(2):313–321MathSciNetMATHCrossRef

Mohagheghi V, Mousavi SM (2019) An analysis approach to handle uncertain multi-criteria group decision problems in the framework of interval type-2 fuzzy sets theory. Neural Comput Appl 31(8):3543–3557CrossRef

Mohsen O, Fereshteh N (2017) An extended vikor method based on entropy measure for the failure modes risk assessment—-a case study of the geothermal power plant (GPP). Saf Sci 92:160–172CrossRef

Munir K, de Ramón-Fernández A, Iqbal S, Javaid N (2019) Neuroscience patient identification using big data and fuzzy logic—an Alzheimer’s disease case study. Expert Syst Appl 136:410–425

Pal SK, Banerjee R, Dutta S, Sarma SS (2013) An insight into the z-number approach to CWW. Fund Inform 124(1–2):197–229MathSciNetCrossRef

Patel P, Khorasani ES, Rahimi S (2016) Modeling and implementation of z-number. Soft Comput 20(4):1341–1364CrossRef

Peng H, Wang J (2017) Hesitant uncertain linguistic z-numbers and their application in multi-criteria group decision-making problems. Int J Fuzzy Syst 19(5):1300–1316CrossRef

Radhakrishnan S, Nair SG, Isaac J (2019) Analysis of parameters affecting blood oxygen saturation and modeling of fuzzy logic system for inspired oxygen prediction. Comput Methods Programs Biomed 176:43–49CrossRef

Rafiq M, Ashraf S, Abdullah S, Mahmood T, Muhammad S (2019) The cosine similarity measures of spherical fuzzy sets and their applications in decision making. J Intell Fuzzy Syst 36(6):6037–6047CrossRef

Romero D, Olivero J, Real R, Guerrero JC (2019) Applying fuzzy logic to assess the biogeographical risk of dengue in south america. Parasit Vectors 12(1):428CrossRef

Shakeel M, Abduulah S, Shahzad M, Mahmood T, Siddiqui N (2019) Averaging aggregation operators with pythagorean trapezoidal fuzzy numbers and their application to group decision making. J Intell Fuzzy Syst 36(2):1899–1915CrossRef

Wang J, Cao Y, Zhang H (2017) Multi-criteria decision-making method based on distance measure and choquet integral for linguistic z-numbers. Cognitive Computation 9(6):827–842CrossRef

Wang Z, Gao J-M, Wang R-X, Chen K, Gao Z-Y, Zheng W (2018) Failure mode and effects analysis by using the house of reliability-based rough vikor approach. IEEE Trans Reliab 67(1):230–248CrossRef

Yager RR (2012) On z-valuations using Zadeh’s z-numbers. Int J Intell Syst 27(3):259–278CrossRef

Yager RR (2016) Multicriteria decision making with ordinal/linguistic intuitionistic fuzzy sets for mobile apps. IEEE Trans Fuzzy Syst 24(3):590–599CrossRef

Yager RR, Alajlan N (2014a) On characterizing features of owa aggregation operators. Fuzzy Optim Decis Making 13(1):1–32MathSciNetMATHCrossRef

Yager RR, Alajlan N (2014b) Probabilistically weighted owa aggregation. IEEE Trans Fuzzy Syst 22(1):46–56CrossRef

Yager RR, Kacprzyk J (2012) The ordered weighted averaging operators: theory and applications. Springer, New York

Yager RR, Elmore P, Petry F (2017) Soft likelihood functions in combining evidence. Inform Fusion 36:185–190CrossRef

Yang Y, Wang J (2018) Smaa-based model for decision aiding using regret theory in discrete z-number context. Appl Soft Comput 65:590–602CrossRef

Zadeh LA (2011) A note on z-numbers. Inf Sci 181(14):2923–2932MATHCrossRef

Zeng S, Asharf S, Arif M, Abdullah S (2019) Application of exponential jensen picture fuzzy divergence measure in multi-criteria group decision making. Mathematics 7(2):191MathSciNetCrossRef

Zheng X, Deng Y (2018) Dependence assessment in human reliability analysis based on evidence credibility decay model and iowa operator. Ann Nucl Energy 112:673–684CrossRef

Title: A modified method of generating Z-number based on OWA weights and maximum entropy
Authors: Ye Tian
Bingyi Kang
Publication date: 18-04-2020
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 20/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-04914-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Other articles of this Issue 20/2020

Conventional neural network for blind image blur correction using latent semantics

Modeling and mechanism analysis of inertia and damping issues for wind turbines PMSG grid-connected system

Attribute reduction of SE-ISI concept lattices for incomplete contexts

Frugal innovation in supply chain cooperation considering e-retailer’s platform value

An improved particle swarm optimization with clone selection principle for dynamic economic emission dispatch

Enhancing artificial bee colony algorithm using refraction principle

Premium Partner