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Fuzzy and Intuitionistic Fuzzy Operators with Applications in Breast Tumor Classification

Jyoti Dabass, Manju Dabass

Abstract


Breast Cancer accounting for 14% of all cancers in women is the most familiar cancer among women in India. According to GLOBOCON data 2018, 1,62,468 new cases and 87,090 demises were accounted for breast cancer in India. The incidence rate of breast cancer starts rising in the early 30s and reaches a peak at the age of 50–64 years. In general, 1 in 28 women will develop breast cancer at some point in their lives. For the early detection of breast cancer fine needle aspirate (FNA), technology and mammography are widely used. In this study, fuzzy and intuitionistic fuzzy aggregation operators are discussed along with their applications in breast cancer classification. Basically, aggregation operators use Laplace or normal distribution to collect vague information about breast tumors. Along with tumor label i.e., malignant, or benign, this aggregated information is utilized to train logistic regression, support vector machine (SVM) and nearest neighbor classifiers. These aggregation operators are efficient in improving classification accuracy and can be applied to all types of breast cancer images dataset for the early finding of breast cancer.


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Bray Freddie, Jacques Ferlay, Isabelle Soerjomataram, Siegel Rebecca L, Torre Lindsey A, Ahmedin Jemal. Global cancer statistics 2018: GLOBOCAN estimates of incidence and mortality worldwide for 36 cancers in 185 countries. CA: Cancer J Clin. 2018; 68(6): 394–424.

Holmes John H, Bilker Warren B. The Effect of Missing Data on Learning Classifier System Learning Rate and Classification Performance. Learning Classifier Systems: 5th International Workshop, IWLCS 2002, Granada, Spain, September 7-8, 2002, Revised Papers Springer Science & Business Media. 2013; 2661(5): 46–60.

García Salvador, Julián Luengo, Francisco Herrera. Dealing with Missing Values Data. Data preprocessing in data mining. New York: Springer; 2015; 72: 59–139.

Liu Peng, Lei Lei, Naijun Wu. A Quantitative Study of the Effect of Missing Data in Classifiers. Proceedings of the 5th International Conference on Computer and Information Technology (CIT'05), IEEE Computer Society. 2005; 28–33.

Aisha Nazziwa, Mohd Bakri Adam, Shamarina Shohaimi. Effect of missing value methods on Bayesian network classification of hepatitis data. Int J Comput Sci Telecommun. 2013; 4(6): 8–12.

Cleophas Ton J, Zwinderman Aeilko H. Missing data imputation. Clinical Data Analysis on a Pocket Calculator. Cham: Springer; 2016; 10: 978–983.

Yager Ronald R. On ordered weighted averaging aggregation operators multicriteria decision making. IEEE Trans Syst Man Cybern. 1988; 18(1): 183–190.

Mohammed EA, Naugler CT, Far BH. Breast tumor classification using a new OWA operator. Expert Syst Appl. 2016; 61(C): 302–313.

Abdel-Nasser Mohamed, Antonio Moreno, Rashwan Hatem A, Domenec Puig. Analyzing the evolution of breast tumors through flow fields and strain tensors. Pattern Recognit Lett. 2017; 93: 162–171.

Chang Kuei-Hu. A novel supplier selection method that integrates the intuitionistic fuzzy weighted averaging method and a soft set with imprecise data. Ann Oper Res. 2019; 272(1–2): 139–157.

Dombi József. A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst. 1982; 8(2): 149–163.

Dubois Didier, Henri Prade. New results about properties and semantics of fuzzy set-theoretic operators. Fuzzy Sets. Boston, MA: Springer; 1980; 59–75.

Liu Peide. Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst. 2014; 22(1): 83–97.

Mitchell HB. An intuitionistic OWA operator. Int J Uncertain Fuzz Knowl-Based Syst. 2004; 12(6): 843–860.

Renaud Jean, Christian Fonteix, Mauricio Carmargo, Aline Deruyver, Laure Morel. Multicriteria Analysis and Case-Based Reasoning: Applications to the Training of Young Doctors in the Context of Breast Mammogram. Impact: The Journal of Innovation Impact. 2016; 6(1): 93–97.

Xu Zeshui. Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst. 2007; 15(6): 1179–1187.

Zhao Hua, Zeshui Xu, Mingfang Ni, Shousheng Liu. Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst. 2010; 25(1): 1–30.

Chen Shyi-Ming, Jiann-Mean Tan. Handling multicriteria fuzzy decision-making problems based on the vague set theory. Fuzzy Sets Syst. 1994; 67(2): 163–172.

Hong Dug Hun, Chang-Hwan Choi. Multicriteria fuzzy decision-making problems based on the vague set theory. Fuzzy Sets Syst. 2000; 114(1): 103–113.

Zhao Hua, Zeshui Xu, Mingfang Ni, Shousheng Liu. Generalized aggregation operators for intuitionistic fuzzy sets. J Intell Fuzzy Syst. 2010; 25(1): 1–30.

Feng Feng, Hamido Fujita, Muhammad Irfan Ali, Yager Ronald R, Xiaoyan Liu. Another view on generalized intuitionistic fuzzy soft sets and related multiattribute decision-making methods. IEEE Trans Fuzzy Syst. 2019; 27(3): 474–488.

Joshi Bhagawati Prasad, Akhilesh Singh. Multi-Criteria Decision-Making Approach Based on Moderator Intuitionistic Fuzzy Hybrid Aggregation Operators. Advanced Fuzzy Logic Approaches in Engineering Science. IGI Global; 2019; 237–251.

Garg Harish, Dimple Rani. Some generalized complex intuitionistic fuzzy aggregation operators and their application to the multicriteria decision-making process. Arab J Sci Eng. 2019; 44(3): 2679–2698.

Ripley BD. Statistical Data Mining. In: Venables, Ripley, editors. International Handbook on Data Mining. New York: Springer-Verlag; 2009.

Boser Bernhard E, Guyon Isabelle M, Vapnik Vladimir N. A training algorithm for optimal margin classifiers. In Proceedings of the 5th ACM annual workshop on Computational learning theory. 2003; 144–152.

Maldonado Sebastián, José Merigó, Jaime Miranda. Redefining support vector machines with the ordered weighted average. Knowledge-Based Systems (KBS). 2018; 148: 41–46.

Yin, Ming, Zheng Wan, Kap Hwan Kim, and Shi Yuan Zheng. An optimal variable pricing model for container line revenue management systems. Marit Econ Logist. 2019; 21(2): 173–191.


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