TY - JOUR
T1 - Interval-valued complex fuzzy soft set and its application
AU - Selvachandran, Ganeshsree
AU - Singh, Prem Kumar
N1 - Funding Information:
The authors gratefully acknowledge the financial assistance received from the Ministry of Education, Malaysia under Grant No. FRGS/1/2017/STG06/UCSI/03/1 and UCSI University, Kuala Lumpur, Malaysia under Grant No. Proj-In-FOBIS-014.
Publisher Copyright:
© 2018 by Begell House, Inc.
PY - 2018
Y1 - 2018
N2 - This paper is focused on handling complex data sets using the properties of interval-valued complex fuzzy sets (IV-CFSs). We extend the IV-CFS model to include a generalization parameter that reflects the opinion of experts to validate the information provided by the users. Our proposed generalized interval-valued complex fuzzy soft set model allows users to indicate their confidence in the data through the interval-based membership structure. The built-in validation mechanism in the model provides a robust framework that allows experts to ratify the individual hesitancy of the users supplying data to the system. To further enhance the utility of the proposed model, we introduce a weighted geometric aggregation operator and an accompanying score function. This aggregation operator reduces the multiple components in the proposed model into a single component with the aim of analyzing the decision-making process in a precise manner. An application of the aggregation operator and score function is demonstrated via a MADM problem related to measuring the effects of the implementation of TPPA by the Malaysian government on selected sectors of the Malaysian economy, and the time taken for these effects to manifest itself on the economic sectors that are considered. The results derived from this method is then corroborated using the interval-valued complex fuzzy concept lattice method.
AB - This paper is focused on handling complex data sets using the properties of interval-valued complex fuzzy sets (IV-CFSs). We extend the IV-CFS model to include a generalization parameter that reflects the opinion of experts to validate the information provided by the users. Our proposed generalized interval-valued complex fuzzy soft set model allows users to indicate their confidence in the data through the interval-based membership structure. The built-in validation mechanism in the model provides a robust framework that allows experts to ratify the individual hesitancy of the users supplying data to the system. To further enhance the utility of the proposed model, we introduce a weighted geometric aggregation operator and an accompanying score function. This aggregation operator reduces the multiple components in the proposed model into a single component with the aim of analyzing the decision-making process in a precise manner. An application of the aggregation operator and score function is demonstrated via a MADM problem related to measuring the effects of the implementation of TPPA by the Malaysian government on selected sectors of the Malaysian economy, and the time taken for these effects to manifest itself on the economic sectors that are considered. The results derived from this method is then corroborated using the interval-valued complex fuzzy concept lattice method.
KW - Aggregation operator
KW - Fuzzy concept lattice
KW - Interval-valued complex fuzzy set
KW - MADM
KW - Uncertainty quantification
UR - http://www.scopus.com/inward/record.url?scp=85048256550&partnerID=8YFLogxK
U2 - 10.1615/Int.J.UncertaintyQuantification.2018020362
DO - 10.1615/Int.J.UncertaintyQuantification.2018020362
M3 - Article
AN - SCOPUS:85048256550
SN - 2152-5080
VL - 8
SP - 101
EP - 117
JO - International Journal for Uncertainty Quantification
JF - International Journal for Uncertainty Quantification
IS - 2
ER -