Abstract
The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμ with respect to a t-conorm and one for ρν with respect to a t-norm ⊗. In this paper, we show that one proof can be obtained from the other by considering and ⊗ dual under an involutive fuzzy complement. We provide a series of singular proofs for commonly defined norms and conorms.
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | New Mathematics and Natural Computation |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2014 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Computational Mathematics
- Computer Science Applications
- Computational Theory and Mathematics
- Human-Computer Interaction
Cite this
Factorization of intuitionistic fuzzy preference relations. / Mordeson, John N.; Clark, Terry D.; Albert, Karen.
In: New Mathematics and Natural Computation, Vol. 10, No. 1, 03.2014, p. 1-25.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Factorization of intuitionistic fuzzy preference relations
AU - Mordeson, John N.
AU - Clark, Terry D.
AU - Albert, Karen
PY - 2014/3
Y1 - 2014/3
N2 - The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμ with respect to a t-conorm and one for ρν with respect to a t-norm ⊗. In this paper, we show that one proof can be obtained from the other by considering and ⊗ dual under an involutive fuzzy complement. We provide a series of singular proofs for commonly defined norms and conorms.
AB - The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμ with respect to a t-conorm and one for ρν with respect to a t-norm ⊗. In this paper, we show that one proof can be obtained from the other by considering and ⊗ dual under an involutive fuzzy complement. We provide a series of singular proofs for commonly defined norms and conorms.
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U2 - 10.1142/S179300571450001X
DO - 10.1142/S179300571450001X
M3 - Article
VL - 10
SP - 1
EP - 25
JO - New Mathematics and Natural Computation
JF - New Mathematics and Natural Computation
SN - 1793-0057
IS - 1
ER -