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Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:A new geometrical interpretation of some concepts in the intuitionistic fuzzy logic: Difference between revisions
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| title = A new geometrical interpretation of some concepts in the intuitionistic fuzzy logic | | title = A new geometrical interpretation of some concepts in the intuitionistic fuzzy logic | ||
| shortcut = nifs/11/2/38-46 | |||
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We provide a new geometrical interpretation of some concepts in the intuitionistic fuzzy sets (briefly IFSs). Using the new geometrical interpretation, we can give the corresponding geometrical interpretations of some operations and operators over the elements of the IFSs. With the new geometrical interpretation we can have an abstract picture of operations and relations over IFSs. This can be observed in an arbitrary triangle without the restrictions of other geometrical interpretations, which are known to work in a unit rectangle, in an isosceles triangle | We provide a new geometrical interpretation of some concepts in the intuitionistic fuzzy sets (briefly IFSs). Using the new geometrical interpretation, we can give the corresponding geometrical interpretations of some operations and operators over the elements of the IFSs. With the new geometrical interpretation we can have an abstract picture of operations and relations over IFSs. This can be observed in an arbitrary triangle without the restrictions of other geometrical interpretations, which are known to work in a unit rectangle, in an isosceles triangle, and in an equilateral triangle. | ||
| keywords = [[Intuitionistic fuzzy sets]], [[Intuitionistic fuzzy logic]], [[Geometrical interpretations of intuitionistic fuzzy sets]] | | keywords = [[Intuitionistic fuzzy sets]], [[Intuitionistic fuzzy logic]], [[Geometrical interpretations of intuitionistic fuzzy sets]] | ||
| references = | | references = | ||
# [[Krassimir Atanassov|K. T. Atanassov]], [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer-Verlag, Berlin, 1998. | # [[Krassimir Atanassov|K. T. Atanassov]], [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer-Verlag, Berlin, 1998. | ||
# Atanassov K., Intuitionistic fuzzy sets, [[Fuzzy Sets and Systems]], vol.20 (1986), No.1, 87-96. | # Atanassov K., [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], vol.20 (1986), No.1, 87-96. | ||
# Atanassov K., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol.33 (1989), No.1, 37-46. | # Atanassov K., [[Issue:More on intuitionistic fuzzy sets|More on intuitionistic fuzzy sets]], Fuzzy Sets and Systems, vol.33 (1989), No.1, 37-46. | ||
# Atanassov K., New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol.61 (1994), No.2, 137-142 | # Atanassov K., [[Issue:New operations defined over the intuitionistic fuzzy sets|New operations defined over the intuitionistic fuzzy sets]], Fuzzy Sets and Systems, vol.61 (1994), No.2, 137-142 | ||
# Danchev S., [[Issue:A new geometrical interpretation of some concepts in the intuitionistic fuzzy logics|A new geometrical interpretation of some concepts in the intuitionistic fuzzy logics]], Notes on Intuitionistic Fuzzy Sets, Vol. 1 (1995), No 2, 116-118. | # Danchev S., [[Issue:A new geometrical interpretation of some concepts in the intuitionistic fuzzy logics|A new geometrical interpretation of some concepts in the intuitionistic fuzzy logics]], Notes on Intuitionistic Fuzzy Sets, Vol. 1 (1995), No 2, 116-118. | ||
# A. G. Hatzimichailidis, B. K. Papadopoulos., [[Issue:A new implication in the intuitionistic fuzzy sets|A new implication in the intuitionistic fuzzy sets]], Notes on Intuitionistic Fuzzy Sets, Vol. 8 (2002), No 4, 79-104 | # A. G. Hatzimichailidis, B. K. Papadopoulos., [[Issue:A new implication in the intuitionistic fuzzy sets|A new implication in the intuitionistic fuzzy sets]], Notes on Intuitionistic Fuzzy Sets, Vol. 8 (2002), No 4, 79-104 |
Latest revision as of 16:49, 16 July 2017
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