Picture fuzzy parameterized soft set and its application in decision making
Preprint
- 4 April 2023
- preprint
- Published by Springer Nature in Research Square
Abstract
In this paper, limiting behaviour of intuitionistic fuzzy parameterized soft set (intuitionistic FP-soft set) based decision making method is shown by a counter example. Then we define picture fuzzy parameterized soft set (picture FP-soft set). This notion can be used to express fuzzy information in more general and effective way. In particular, some basic operations such as union, intersection, complement and subset of picture FP-soft sets are developed. We also propose a conversion method to construct picture fuzzy set from intuitionistic fuzzy set. Furthermore, reduced PF-soft set and reduced intuitionistic fuzzy set are proposed. Based on these definition decision making method based on picture FP-soft set is developed. Finally, using proposed construction method we convert intuitionistic fuzzy information of counter example in picture fuzzy information and then apply picture FP-soft set based decision making method leading a more clear decision of problem which shows efficiency of proposed set and decision making method.Keywords
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