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Open AccessArticle

MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators

1
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
2
School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Malaysia
3
Department of Mathematics, GC University Faisalabad, Punjab 38000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1187; https://doi.org/10.3390/sym11101187
Received: 14 August 2019 / Revised: 10 September 2019 / Accepted: 11 September 2019 / Published: 20 September 2019
The interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and t-conorm (tcm) can make the information aggregation process more flexible due to a variable parameter. To take full advantage of INS and Sh-Sk operations, in this article, we expanded the Sh-Sk and to IN numbers (INNs) in which the variable parameter takes values from , develop the Sh-Sk operational laws for INNs and discussed its desirable properties. After that, based on these newly developed operational laws, two types of generalized prioritized aggregation operators are established, the generalized IN Sh-Sk prioritized weighted averaging (INSh-SkPWA) operator and the generalized IN Sh-Sk prioritized weighted geometric (INSh-SkPWG) operator. Additionally, we swot a number of valuable characteristics of these intended aggregation operators (AGOs) and created two novel decision-making models to match with multiple-attribute decision-making (MADM) problems under IN information established on INSh-SkPWA and INSh-SkPRWG operators. Finally, an expressive example regarding evaluating the technological innovation capability for the high-tech enterprises is specified to confirm the efficacy of the intended models.
Keywords: interval neutrosophic sets; Schweizer-Sklar operations; prioritized aggregation operator; decision making interval neutrosophic sets; Schweizer-Sklar operations; prioritized aggregation operator; decision making
MDPI and ACS Style

Khan, Q.; Abdullah, L.; Mahmood, T.; Naeem, M.; Rashid, S. MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators. Symmetry 2019, 11, 1187.

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