Journal
SCIENTIA IRANICA
Volume 24, Issue 5, Pages 2581-2604Publisher
SHARIF UNIV TECHNOLOGY
DOI: 10.24200/sci.2017.4386
Keywords
MCDM; Interval-valued intuitionistic fuzzy set; Aggregation operator; Hamacher operations
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The objective of this manuscript is to present an improved aggregator operator by taking into account the effect of an unknown degree (hesitancy degree) in an Interval-Valued Intuitionistic Fuzzy Sets (IVIFSs) environment. For this, firstly, the shortcomings, of the existing operators are addressed and, then, some improved operational laws on IVIFSs have been introduced. Based on these laws, aggregation operators, namely, an Interval-Valued Intuitionistic Fuzzy Hamacher Interactive Weighted Averaging (IV-IFIIIWA), Ordered Weighted Averaging (IVIFIIIOWA), and Hybrid Weighted Averaging (IVIFHIHWA), have been proposed. Various properties related to these operators are also investigated. Furthermore, based on these operators, an approach to deal with Multi-Criteria Decision Making (MCDM) problem is developed. Finally, a practical example is provided to illustrate the decision making process. (C) 2017 Sharif University of Technology. All rights reserved.
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