01
Chapter 4. Examples
Example/ Data
l The data used in the following example was taken from an experiment in which xx was
measured between x and x using a xx technique.
l The data consists ofover xx measurements.
l An example of xx is discussed and the control rules of xx are compared with a xx
l Examples of complex processes to which this technique may be applied are xx, xx, etc.
l The following example is constructed only for the purpose of illustrating the computational
procedure discussed.
l This example clearly demonstrates that the profile of an individual xx, or a very small group of
xx, with no enough data to be studied statistically, can be meaningfully analyzed by fuzzy
possibilistic methods.
l There is no space here to go into detail on all these methods, but deserve a mention and the
bibliography will point to detailed references for those wishing this level of detail.
l Note that the golf ball spotting example is used throughout the paper.
Comparisons
l As well, the pros and cons of these representations from a process planning point of view will
be discussed.
l The method of using xx to implement xx described by Zadeh (1973) appeared more suitable
l As discussed [in the previous section]/[preciously],
Relation
l We can not invert F' directly because it defines a many-to-one mapping.
l The relationships appear very complicate
l Lifting tasks involve complex and imprecise relationship between the task variables and the
human operator's characteristics.
l These methods are based on the relationship between ... and ...
l The fundamental concept of a fuzzy rating language is that we can establish a relationship
among terms such as high, medium, and low, and then modify these relationships.
l This article will thus mention the latter as well as the former.
l The former two bear a close relation to a fuzzy Cartesian product.
Importance
l The emphasis is on an implementation of a general approach to rule based decision making.
Consideration / Attention
l Careful evaluation is necessary to ensure
l Such a formulation does not change further considerations.
l Considerable attention has been paid to
l Attention should be paid to an important finding of this investigation.
l Caution should be exercised in this process to avoid ...
l Primary consideration is given to ... components, though others can be accommodated
l After ... has been defined by ..., a carefully analysis is carried out/performed to determine
l A number of factors such as ...need to be taken into consideration before making the
appropriate decision.
l It should be noted that
l It is important to point out that ...
l These considerations have heightened interest in the possibility of providing ...
l We should stress the fundamental importance of the xx
02
Chapter 5. Results.
Advantages / Disadvantage
l One of the major advantages of this new measure of xx is that it can be applied to the
experimental study of
l One advantage of using a .. is the ease of preparing it.
l The xx system is versatile
l It has a very fast decision making process
l All the algorithms involve mostly logical operations.
l It can be easily and without additional cost implemented in a microprocessor based environment.
l It can reduce the waste of designing from scratch.
l The advantages of using a xx to represent xx are the following:
l However, xx is not without its shortcomings.
l In most cases, the xxx shows animprovement over the existing xxx.
l Compared to the existing xx, the impacts of the xx are generally reduced by 5% to 9%.
l The "best case" results shows a savings of 6% to 9%.
l Most of the existing works based on xx approach can only recognize a xx .
l Most of the above methods are computational expansive and limited to xx.
l Some other advantages of xx are the following:
l The problem is the limitation of this method to a limited domain of parts.
l It proved limited in application because it demanded precision in system modeling that was
impossible in practice.
l There are advantages to be gained in the structuring of costs and benefits, the use of xx,
l The disadvantages of this method are alsodisadvantages of conventional xx approaches.
l This combines the best features of both techniques
l Hopefully, this tool can be as the reference framework of for developing a xx platform, and
helping the administration, marketing, and knowledge management activities in virtual communities.
Results
l An improvement on the result shown above can be made by based on the data provided
l Discussion of these theories is beyond the scope of this review
l Based on the information contained in this
l The result can be categorized into nine classes
l The results are illustrated by an example
l The experimental results for each xx time are reported in Table 2.
l From the results obtained so far, it seem that
l Because of the inaccuracy of the ..., a conclusion cannot be drawn as
l Although much effort has been made to., this reality is far from completion.
l The results indicate that the total benefits are higher than the total costs.
l Their results may then serve as guidelines for lower level models, less fuzzy and more detailed.
03
Chapter 6. Conclusion
l From the discussion, one may conclude that ...
l Form the above discussion, the conclusion can be reached that
l The conclusions drawn are also valid
l In conclusion to this, it becomes obvious that the problem of xx lies not only in...
l We have attempted to introduce some concepts associated with a theory of
xx based on fuzzy sets.
l Considerable more work, hopefully, will be done in this area
l A fuzzy set procedure is proposed to solve xx selection problems interwoven with imprecise
data
l Employing the compositional rule of inference, the assessment of the xx compatibility in
achieving prescribed xx projectiles in any level of the hierarchy is made possible.
l This paper has presented a theoretical and experimental study of the xx process and xx concept.
l The experimental research results will hopefully serve as useful feedback information for
improvements for xx work.
l The scope of this contribution was to introduce a xx method.
l In general, fuzzy sets theory provides an alternative foundation for xx analysis in a fuzzy environment.
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