Normal Wiggly Probabilistic Hesitant Fuzzy Information for Environmental Quality Evaluation

Table 1

A summary on the normal wiggly hesitant fuzzy set and its extensions.

Studies	Different models	Characteristic of the elements	Extract information	Probabilistic information
[8]	HFS	A set of possible membership values	No	No
[10]	PrHFS	A set of possible membership values and their associated proportion	No	No
[9]	PHFS	A probabilistic distribution of several membership values	No	Yes
[26]	NWHFS	A set of possible membership values	Yes	No
[28]	NWHFLTS	A set of several ordered and continuous linguistic terms	Yes	No
[29]	NWPaHFS	A set of membership and nonmembership values such that the sum of square of membership and nonmembership values is less than one	Yes	No
[30]	NWDHFS	A set of various membership and nonmembership values	Yes	No
Proposed	NWPHFS	A probabilistic distribution of several membership values	Yes	Yes