Justification
l We choose the so called xx in our experiment because it has received wide acceptance and can
l Prolog was chosen because it offers a well known and flexible environment in which fuzzy reasoning may be easily implemented.
l The rationale behind this is that it can be much easier for an estimator to rate a cost as high than to attempt to place a dollar value on the estimate.
l This strategy has been widely used in fuzzy control applications since it is natural and easy to implement.
l A function definition expresses the membership function of a fuzzy set in a functional form, typically a bell‑shaped function, etc. Such functions are used in FLC because they lead themselves to manipulation through the use of fuzzy arithmetic.
l It should be noted that in our daily life most of the information on which our decisions are based is linguistic rather than numerical in nature. Seen in this perspective, fuzzy control rules provide a natural framework for the characterization of human behavior and decisions analysis.
l Many experts have found that fuzzy control rules provide a convenient way to express their domain knowledge. This explains why most FLCs are based on the knowledge and experience which are expressed in the language of fuzzy "if‑the" rule.
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 of over 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
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 an improvement 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 also disadvantages 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.
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.
Future Research
l Thus, first extension of the approach could be,
l Present some cues for a further approach from Fuzzy Sets Theory application to
l Some improvements to the scheduling aspect of the model may be brought through additional levels in the hierarchy for more detailed representation of the scheduling activity.
Tables and Figures
l Figure 7-1 sketches these relationships.
l The graphical representation of these functions is shown in Figure 1.
l The xx may be depicted as in Figure 1.
l Figure x shows the schematic diagram of the
l Figure 1 though 2 provide a ... that
l the architecture of this expert system for .... is illustrated in Figure 2.
l Figure 2 gives the outline of an ... system
l Table shows the
l as shown in Table 1 and 2
l This concept is illustrated in Figure 2
l At the top of Table xx are shown two blocks of data.
l Each table or matrix has constructs xx through xx as row‑headings,
xx through xx as column‑headings.
l A table of .. is developed and significant recommendations are made.
CONJUGATION
To Indicate Addition
l additionally, again, also, and then, as can be easily understood, besides, equally important, especially, finally, for the same reason, first, further, furthermore, in addition, last, likewise, moreover, next, second, third, too, evidently, obviously, roughly speaking, broadly speaking
To Indicate Cause and Effect
l accordingly, as a result, consequently, for this reason, hence, in short, otherwise, then, therefore, thus, truly
To indicate Comparison
l in a like manner, likewise, similarly , alternatively
To Indicate Concession
l after all, although this may be true, at the same time, even though, even so , I admit, naturally, of course
To Indicate Contrast
l and yet, at the same time, but, for all that, however, yet, in fact, in contrast, in the real life, in spite of, nevertheless, notwithstanding, normally, on the contrary, on the other hand, still, traditionally, rather, unfortunately,
To Indicate Time Relationships
l after a short time, afterwards, as indicated earlier, as long as, as soon as, at last, at length, at the moment, at that time, at the same time, before, earlier, currently, immediately, in the meantime, in recent years, lately, later, meanwhile, often, of late, presently, recently, soon, shortly, since, thereupon, temporarily, therefore, until, when, while
To Indicate Special Features or Examples
l for example, for instance, incidentally, indeed, in fact, in other words, in particular, in practice, specifically, that is, to illustrate, in this respect, theoretically, as mentioned before / above
To Indicate Summary
l in brief, in conclusion, in short, in summary, on the whole, to conclude
, in general, to summarize, to sum up, as a result, ultimately,
VERB PHASE
l build a .. model
l build up the key link
l began a new era in ...
l can be regarded as / achieved / used to/for / found / obtained through
l can result in
l carries out ... tasks
l production information in order to simultaneously
l contains all information necessary to describe
l do not make use of production information
l deals with
l end with failure
l fetch the information from the model directly
l has great potential / yet to be resolved / spurred the development of /
been recognized as
l BE aimed at / built up / carried out by / essentially concerned with / considered to be the key technology / associated with each feature of a compo
site component / cable of / currently implemented for / demonstrated by an example / finally reached / made equal to / equivalent to / more suitable to / oriented to / interpreted as / pointed out / potentially of great benefit in the complex task of / shown in / used to effectively guide the search
l makes use of
l make up
l meets the needs of real life production,/ the current demands placed upon it
l must be justified
l point out
l play an important role
l relates to
l rely on
l satisfy the needs
l determine the total requirements for the ...
l uses ... as a key to search for...
l without relying on
l will be available/ performed/ overlooked
NOUN PHASE
l a basic technical function of
l a critical need
l a key / principle feature of
l a substantial impact on
l an intensive review was conducted
l an increasing need for expanding the application of ....
l an important component / function / aspect / issue
l each rule is numbered in sequence
l each of these involves
l for this calculation, it is necessary to define
l in the physical environment / integration of
l in the reality of situations where …
l many aspects of
l most past efforts have been spent on ...
l common sense to a well studied and documented technical field.
l sources of additional information on ... are listed
l systematic and rationally structured format
l the basis on which a range of ...operations can be established is shown
l THE basic philosophy / principles of / key element / general hypothesis / candidate list of / concept of ... has attracted wide interest / function is concerned with / heart / impact / nature / role / task of / kernel functions
l the number of parts needed to
l the above statement means that
l the output data is passed to
l the proposed method / underlying principle
l the recommendations made in this report, if implemented, should
l this information resides in
l this process is composed of ... different ... operation
l along with the use of
l concerning general aspects of
l due to
l for later use in generating...,
l in turn,
l IT IS believed / noted / assumed / suggested / shown / quite evident / appears / implies that / intended for / of no important to
l it can be claimed/concluded that
l it demonstrates the decisions required of
l it also provides information to ..
l it becomes essential to
l let ... be the probability that
l once... is written, it is compiled into...
l suppose it is observed that
l this is because
l this results in a
l upon completion of the ... analysis,
l when the knowledge is of mathematics or quantum physics, it will also be
recorded in books and papers
l selection of rules for using the tools, for generating operation plans,
is another matter of preference, since practice varies greatly.
l for the sake of convenience
l correct decision to be reach
l keeping the number of rules to a minimum.
l a good process plan will result exhibiting several characteristics: |
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