Multi-attribute Decision Making Based on Averaging Aggregation Operators for Picture Hesitant Fuzzy Sets.

K. Ullah; Z. Ali; N. Jan; T. Mahmood; S. Maqsood

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Multi-attribute Decision Making Based on Averaging Aggregation Operators for Picture Hesitant Fuzzy Sets.

Author(s)

K. Ullah International Islamic University (IIU), Islamabad, Pakistan

Z. Ali Mathematics & Statistics Department, International Islamic University, Islamabad, Pakistan

N. Jan Mathematics & Statistics Department, International Islamic University, Islamabad, Pakistan

T. Mahmood Mathematics & Statistics Department, International Islamic University, Islamabad, Pakistan

S. Maqsood Industrial Engineering Department, University of Engineering and Technology Peshawar, Pakistan

Abstract

In this work, we proposed the theory of picture hesitant fuzzy set (PHFS) as a generalization of picture fuzzy set (PFS) and hesitant fuzzy set (HFS). Some basic operations on PHFSs have been developed and their results are studied. These aggregation operators included picture hesitant fuzzy weighted averaging (PHFWA) operator, picture hesitant fuzzy ordered weighted averaging (PHFOWA) operator and picture hesitant fuzzy hybrid averaging (PHFHA) operator. The basic properties of defined aggregation operators have been examined and some important results are discussed. Multi-Attribute decision making (MADM) process is discussed in the environment of PHFSs and numerical examples are provided for demonstration of proposed approach. The advantages of working in the environment of PHFSs are also discussed.

Publication Details

Page(s) 84-95

DOI DOI not available

Published Journal: Technical Journal, Volume: 23, Issue: 4, Year: 2018

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Keywords

Decision Making, Aggregation Operators, Picture Hesitant Fuzzy Set, Picture Fuzzy Set, Hesitant Fuzzy Set

References

Ullah K.,Ali Z.,Jan N.,Mahmood T.,Maqsood S. .2018 .Multi-attribute decision making based on averaging aggregation operators for picture hesitant fuzzy sets. Technical Journal, 23(04) : 84-95.

Ullah K.,Ali Z.,Jan N.,Mahmood T.,Maqsood S. .2018 .. Multi-Attribute Decision Making Based on Averaging Aggregation Operators for Picture Hesitant Fuzzy Sets. Technical Journal, 23(04) : 84-95.