Some Intuitionistic Fuzzy Prioritized Interactive Einstein Choquet Operators and Their Application in Decision Making | Zendy

Peide Liu | Zendy; Guolin Tang | Zendy

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Some Intuitionistic Fuzzy Prioritized Interactive Einstein Choquet Operators and Their Application in Decision Making

Author(s) -

Peide Liu,

Guolin Tang

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2882071

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

In actual decision making, there are many multiple criteria decision making (MCDM) problems with prioritization and interaction among the criteria. In this paper, we proposed a novel method to handle the intuitionistic fuzzy MCDM problems with weakly ordered prioritization and interaction among the criteria. First, we presented some novel Einstein operations of intuitionistic fuzzy sets (IFSs), which could capture the relationship between non-membership and membership functions of various IFSs. Then, we proposed a novel operator called prioritized interactive Choquet (PIC) operator based on fuzzy measure, generalized prioritized measure, and Choquet integral. Meanwhile, three fundamental features of this operator were discussed. Besides, we combined the PIC operator and Einstein operations to IFSs, and proposed the intuitionistic fuzzy prioritized interactive Einstein Choquet (IFPIEC) operator, which could consider the prioritization and interaction among the criteria. Additionally, we utilized O’Hagan’s maximum entropy to obtain the quantity of each priority level in the generalized prioritized measure. Finally, the detailed decision making steps for the intuitionistic fuzzy MCDM problems with weakly ordered prioritization and interaction were developed, and two practical cases were given to check the created approach and to illustrate its validity and superiority.

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