New operations for interval-valued Pythagorean fuzzy set

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PENG X.

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Journal Paper

Paper Information

Journal: Scientia Iranica Year:2019 | Volume:26 | Issue:2 (Transactions E: Industrial Engineering) Page(s): 1049-1076

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Title

New operations for interval-valued Pythagorean fuzzy set

Author(s)

PENG X. | Issue Writer Certificate

Keywords

Interval-valued Pythagorean fuzzy set

interval-valued Pythagorean fuzzy operators

Multi-attribute decision making

Abstract

Interval-valued Pythagorean fuzzy set (IVPFS), originally proposed by Peng and Yang, is a novel tool to deal with vagueness and incertitude. As a generalized set, IVPFS has close relationship with interval-valued intuitionistic fuzzy set (IVIFS). IVPFS can be reduced to IVIFS satisfying the condition $\mu^++\nu^+ \leq 1$. However, the related operations of IVPFS do not take different conditions into consideration. In this paper, we initiate some new interval-valued Pythagorean fuzzy operators ($\diamondsuit, \Box, \spadesuit, \clubsuit, \maltese, \rightarrow, \$ $) and discuss their properties in relation with some existing operators $(\cup, \cap, \oplus, \otimes)$ in detail. It will promote the development of interval-valued Pythagorean fuzzy operators. Later, we propose an algorithm to deal with Multi-attribute decision making (MADM) problem based on proposed $\spadesuit$ operator. Finally, the effectiveness and feasibility of approach is demonstrated by mine emergency decision making example.

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APA: Copy

PENG, X.. (2019). New operations for interval-valued Pythagorean fuzzy set. SCIENTIA IRANICA, 26(2 (Transactions E: Industrial Engineering)), 1049-1076. SID. https://sid.ir/paper/290587/en

Vancouver: Copy

PENG X.. New operations for interval-valued Pythagorean fuzzy set. SCIENTIA IRANICA[Internet]. 2019;26(2 (Transactions E: Industrial Engineering)):1049-1076. Available from: https://sid.ir/paper/290587/en

IEEE: Copy

X. PENG, “New operations for interval-valued Pythagorean fuzzy set,” SCIENTIA IRANICA, vol. 26, no. 2 (Transactions E: Industrial Engineering), pp. 1049–1076, 2019, [Online]. Available: https://sid.ir/paper/290587/en

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