Abstract
A generalized metric in space of set of fuzzy sets is introduced. We prove some common fixed point for contractive iterate at the point and orbitally contractive at the point fuzzy mappings and subfixed point results for family of mappings satisfying generalized contractive conditions in generalized metric fuzzy spaces.
Highlights
Uncertainty regarding some experiments may essentially have two origins
We prove some common fixed point for contractive iterate at the point and orbitally contractive at the point fuzzy mappings and subfixed point results for family of mappings satisfying generalized contractive conditions in generalized metric fuzzy spaces
An incomplete data set delivers an imprecise assessment of the information which should be expressed by a [0, 1]-fuzzy set instead of a number
Summary
Uncertainty regarding some experiments may essentially have two origins. It may arise from randomness due to the natural variability of observation or it may be caused by imprecisions due to partial information, for example, expert opinions or sparse data sets. If the distance between elements is imprecise, the fuzziness is included in metric, as it was done in the definition of fuzzy metric spaces by Kaleva and Seikkala [1]. In [9] the G-metric is introduced in K(X) and, in [10], the similar construction is made to establish the G-metric in the set F(X) In both cases the structure of the basic G-metric space [3,4,5] is used to define the Hausdorff G-metric by the metric dG derived from Gmetric G. For more fixed point results for mappings defined in Gmetric spaces of fuzzy sets, we refer the reader to [10,11,12]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
