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Table 6 shows the scores and STFN converted for supplier 1 based on the research hierarchy criteria.
Paired comparisons for the organizational policies and the STFN are shown in Table 6.
Hypothesis 1: The price of the rth bond in a session is an STFN. This price will be written as [P.sup.r] where
So, for a given maturity t, the discount function is the following STFN:
Hypothesis 4: The discount function, (25), can be approximated from a linear combination of m + 1 functions [g.sub.j](t), j = 0, 1, ..., m with image in [R.sup.+] that are continuously differentiable, and whose parameters are given by STFN. In this way, these parameters can be represented as
Unfortunately, despite using a discount function quantified via an STFN, the spot rate is not an STFN because it is not a linear function of [f.sub.t].
Then, although [r.sub.t] is not an STFN, it can be approximated reasonably well by this type of FN.
If the amounts and the cash flows are given by STFNs, 19 will not be an STFN but it can be approximated by an STFN from (9).
where [[??].sub.i] is the fuzzy aggregated score of the factor [F.sub.i], [[??].sub.i1], [[??].sub.i2],...,[[??].sub.im] are the STFN scores of the factor [F.sub.i] measured by m experts [E.sub.1], [E.sub.2],...,[E.sub.m], respectively, [cross product] and [direct sum] denote the fuzzy multiplication operator and the fuzzy addition operator, respectively, and [c.sub.1], [c.sub.2],...,[c.sub.m] are contribution factors (CFs) allocated to experts, [E.sub.1], [E.sub.2],...,[E.sub.m] and [c.sub.1] + [c.sub.2] + ...
where [[??].sub.ij] is the aggregated fuzzy scale of [F.sub.i] comparing to [F.sub.j]; i, j = 1, 2,..., n; Sij1,S'j2,...,Sjm are the corresponding STFN scales of F.
Then these evaluations are converted into STFNs as defined in Eq.
The pair-wise comparisons of "Socio-Political Criteria" and the corresponding STFNs are shown in Table 2.
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