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Additional info for 0-Dual Closures for Several Classes of Graphs
It also holds in fuzzy logic that the extensions of these terms may overlap (Chapter 4). We may also use compound expressions by applying connectives such as the conjunction and and the disjunction or. In reasoning models, we may also use the connectives if - then (implication) and if and only if (equivalence). Then, for example, the following linguistic values are acceptable: young and fairly young old or very old not young and not old = neither young nor old In fuzzy reasoning, we can use such expressions as If the car is fairly good and cheap, then it is reasonable to buy it A tomato is red if and only if it is ripe.
5 to 6 tervals X2+2y 3+1, x=y Precise numerical functions and reI ations Approximately ~+ 2y 3+ 1, approximately Approximate numerical functions and x=y relations male, negative, small negative, very Precise and approximate linguistic valhigh, fairly old, not good, young or ues and relations fairly young, slightly greater than, approximately equal with Since no unified or prevailing structure is available in SC, we aim to construct a coherent linguistic structure that can be applied to our models.
FOUR TO SIX (=APPROX. [4,6]). Triangular and trapezoidal fuzzy sets consist only of straight lines, but in several applications alternative shapes are also used. 5 provides an alternative example of the fuzzy set APPROXIMA TEL Y FIVE. 6. 5. Another Fuzzy Set APPROXIMATELY FIVE. 6. Typical Fuzzy Sets (Top to Bottom: Triangular, BellShaped Interval, Trapezoidal, Triangular, Bell-Shaped). 19 Triangular and trapezoidal sets are also examples of fuzzy numbers and intervals, respectively . Fuzzy numbers can be applied to fuzzified mathematical operations such as approximately 5 + (approximately 7 / (approximately 2 .