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Series of Aggregation Operators for Picture Fuzzy Environments and Their Applications: Aggregation Operators for Picture Fuzzy Sets

Series of Aggregation Operators for Picture Fuzzy Environments and Their Applications: Aggregation Operators for Picture Fuzzy Sets

Saleem Abdullah, Shahzaib Ashraf
Copyright: © 2020 |Pages: 24
ISBN13: 9781799801900|ISBN10: 179980190X|ISBN13 Softcover: 9781799801917|EISBN13: 9781799801924
DOI: 10.4018/978-1-7998-0190-0.ch018
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MLA

Abdullah, Saleem, and Shahzaib Ashraf. "Series of Aggregation Operators for Picture Fuzzy Environments and Their Applications: Aggregation Operators for Picture Fuzzy Sets." Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures, edited by Chiranjibe Jana, et al., IGI Global, 2020, pp. 328-351. https://doi.org/10.4018/978-1-7998-0190-0.ch018

APA

Abdullah, S. & Ashraf, S. (2020). Series of Aggregation Operators for Picture Fuzzy Environments and Their Applications: Aggregation Operators for Picture Fuzzy Sets. In C. Jana, T. Senapati, & M. Pal (Eds.), Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures (pp. 328-351). IGI Global. https://doi.org/10.4018/978-1-7998-0190-0.ch018

Chicago

Abdullah, Saleem, and Shahzaib Ashraf. "Series of Aggregation Operators for Picture Fuzzy Environments and Their Applications: Aggregation Operators for Picture Fuzzy Sets." In Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures, edited by Chiranjibe Jana, Tapan Senapati, and Madhumangal Pal, 328-351. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-0190-0.ch018

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Abstract

The main objective of the chapter is to introduce a series of picture fuzzy weighted averaging and geometric aggregation operators by using t-norm and t-conorm. In this chapter, they discussed generalized form of weighted averaging and geometric aggregation operator for picture fuzzy information. Further, the proposed aggregation operators of picture fuzzy number are applied to multi-attribute group decision making problems. To implement the proposed models, they provide some numerical applications of group decision making problems. Also compared with previous model, they conclude that the proposed technique is more effective and reliable.

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