Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 27, Issue 8, Pages 1687-1699Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2018.2887187
Keywords
Q-rung orthopair fuzzy derivatives; q-rung orthopair fuzzy differentials; q-rung orthopair fuzzy functions (q-ROFF); q-rung orthopair fuzzy sets (q-ROFS)
Funding
- National Natural Science Foundation of China [71571123, 71532007, 71771155]
- Major Program of the National Social Science Foundation of China [17ZDA092]
- Fundamental Research Funds for the Central Universities [JBK1805001]
Ask authors/readers for more resources
Yager's q-rung orthopair fuzzy set (q-ROFS) is a powerful tool to handle uncertainty and vagueness in real life. It expands the spatial scope of membership and nonmembership, and therefore has a wider range of constraints and stronger modeling capabilities. However, to date, there is no investigation for q-rung orthopair fuzzy derivatives and differentials, which are very important for further developing q-rung orthopair fuzzy calculus (q-ROFC). The basic elements of a q-ROFS are q-rung orthopair fuzzy numbers (q-ROFNs), based on which we propose the q-rung orthopair fuzzy functions (q-ROFFs) and discuss their continuities in detail. Subsequently, we study the derivative of the q-ROFF, which reveals an accurate description on rate of change for continuous q-ROFF. Next, the differential operation of q-ROFF is established; thereby providing an effective approximation on nonlinear problem in the q-ROFF environment. Finally, we present numerical examples as explicit applications of q-ROFC.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available