HFLNS

AcronymDefinition
HFLNSHeart Failure Liaison Nurse Service (UK)
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In this section, two prioritized aggregation operators for HFLNs are proposed based on the PA operator, and some desirable properties are also analyzed.
Let [[alpha].sub.j] (j = 1, 2, ..., n) be a collection of HFLNs, and then the HFLPWA operator can be defined as follows:
Based on the operations of HFLNs described in Section 3, Theorem 19 can be deduced.
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be a collection of HFLNs. Then the aggregated value, obtained by using the HFLPWA operator, is also an HFLN, and
Let [[alpha].sub.j] = [G.sub.j](x) = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be a collection of HFLNs. If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] then
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be a collection of HFLNs and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] foe any permutation of ([[alpha].sub.1], [[alpha].sub.2], ..., [[alpha].sub.n]).
Let [[alpha].sub.j] (j = 1,2, ..., n) be a collection of HFLNs, and then the HFLPWG operator can be defined as follows:
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] foe a collection of HFLNs. Then the aggregated value, obtained by using the HFLPWG operator, is also an HFLN, and
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be a collection of HFLNs and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is any permutation of ([[alpha].sub.1], [[alpha].sub.2], ..., [[alpha].sub.n]).
Let [[alpha].sub.j] (j = 1,2, ..., n) be a collection of HFLNs, and then the HFLGPWA operator can be defined as follows:
An MCDM Method with HFLNs. In this subsection, the HFLGPWA operator will be applied to MCDM problems with hesitant fuzzy linguistic information.
Under these criteria, there is a set of alternatives {[x.sub.1], [x.sub.2], ..., [x.sub.m]} and the criteria values of the alternatives are expressed as HFLNs R = [([C.sub.j]([x.sub.i])).sub.mxn] (i = 1, ..., m; j = 1, ..., n).
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