1475 Words6 Pages

Fuzzy Logic
Fuzzy Logic is a term used to identify a new trend of quantifying partial truths. One disadvantage of most rule sets that they cannot process inconsistent data. Fuzzy logic is a superset of conventional logic that has been extended to handle the concept of partial truth, being values that lie between "completely true" and "completely untrue". Dr. Lotfi Zadeth of UC/Berkley first introduced it in the 1960s as a means of modeling the uncertainty of natural language.
All this works by using expanding on Boolean logic and the concept of subsets. In classical set theory, a subset X of a set Y can be defined as a mapping from the elements of Y to the elements of the set (0,1), X: Y --* (0,1). This mapping can be*…show more content…*

Frequently, the mapping is described as a function, the membership function of F. The degree to which the statement x is in F is true is determined by finding the ordered pair whose first element is x. The degree of truth of the statement is the second element of the ordered pair.
To understand this graphically, lets use a Zadeh example that measures tallness. In this case the set S (the universe of discourse) is the set of people. We define a fuzzy subset TALL, which will answer the question "to what degree is person x tall?" Zadeh describes TALL as a linguistic variable, which represents our cognitive category of "tallness". To each person in the universe of discourse, we have to assign a degree of membership in the fuzzy subset TALL. The easiest way to do this is with a membership function based on the person's height. The following figure is how to define this using a graph.
Fig. 1
tall(x) = { 0, if height(x) * 5 ft., (height(x)-5ft.)/2ft., if 5 ft. *= height (x) *= 7 ft., 1, if height(x) * 7 ft. }
A graph of this looks like:
1.0 + +------------------- | / | /
0.5 + / | / | /
0.0 +-------------+-----+------------------- | | 5.0 7.0
height, ft. -*
Person Height degree of tallness

Related

## Seminar Report on Fuzzy Logic

6250 Words | 25 PagesABSTARCT Fuzzy logic has rapidly become one of the most successful of today's technologies for developing sophisticated control systems. The reason for which is very simple. Fuzzy logic addresses such applications perfectly as it resembles human decision making with an ability to generate precise solutions from certain or approximate information. While other approaches require accurate equations to model real-world behaviors, fuzzy design can accommodate the ambiguities of real-world in human language

## Fuzzy Logic Technique For Pq Improvement

3198 Words | 13 PagesFuzzy Logic Technique for PQ Improvement by UPQC for Renewable Energy Recourse’s 1BJ SHIVA RAMA KRISHNA RAO, PG STUDENT, BRILLIANT GROUP OF INSTITUTIONS, HYD 2O SWATHI, PG STUDENT, BRILLIANT GROUP OF INSTITUTIONS, HYD 3B. NAGI REDDY, ASST.PROF, BRILLIANT GROUP OF INSTITUTIONS, HYD ABSTRACT: -- In this a fuzzy logic control technique has been proposed for power quality improvement by using UPQC The UPQC is controlled to regulate the WF terminal voltage, and to mitigate voltage fluctuations at

## Fuzzy Logic Is a Way to Deal with Imprecise Concepts Essay

1147 Words | 5 Pagesand it was here that he started his work on “Fuzzy Logic,” a theory that would eventually be applied towards many things in the form of soft computing (Blair). Fuzzy Logic, defined as “multivalued (as opposed to binary) logic developed to deal with imprecise or vague data” (“Fuzzy logic”), was developed by Zadeh in 1965, during his time at Berkeley. Already recognized internationally for his work with mathematical systems, Zadeh’s paper on fuzzy logic started a new phase in his career, and since

## Analysis Of Perturb & Observe, Incremental Conductance & Fuzzy Logic Controller

1939 Words | 8 PagesIncremental Conductance & Fuzzy Logic Controller by Using Boost Converter and Interleaved Boost Converter abstract: Current scenario of the globe is that sources for energy are lagging behind the current demand so most concentration is on renewables. Solar performance efficiency mainly depends on cell structure, maximum power point tracking technique and converter circuit used. MPPT operation executes a key part in raising the strength of PV system. A p & o, incremental conductance, Fuzzy based MPPT algorithmic

## Haack On Fuzzy Logic Essay

2787 Words | 12 PagesHaack On Fuzzy Logic ABSTRACT: Much of the progress in modern logic beyond Aristotle is due to the invention of a precise and powerful formalism, and this is why Haack is reluctant to weaken it. What motivates her to regard deviant and fuzzy logic as extensions rather than rivals of classical logic is its demonstrated capacity for refinement and progress. Thus she sharply distinguishes between a logic dealing with fuzzy concepts (she accepts), and one which is itself fuzzy, i.e., where "true"

## Brief Explanation of the Basic Framework of the Principal Componant Analysis and Fuzzy Logic

573 Words | 3 PagesPRELIMINARIES This section expands a brief explanation of the basic frame-work of the principal component analysis and fuzzy logic, along with some of the key basic concepts. A. The principal component analysis (PCA) The Principal component analysis (PCA) is an essential technique in data compression and feature reduction [13] and it is a statistical technique applied to reduce a set of correlated variables to smaller uncorrelated variables to each other. PCA is considered as special transformation

## Image Fusion Technique Based on PCA and Fuzzy Logic Part 2 Essay

653 Words | 3 Pagesbased on fuzzy sets The fuzzy logic approach is widely used in image process-ing. The fuzzy logic gives decision rules and fusion motivation for image fusion [17]. the two inputs images are converted into membership values based on a set of predefined MFs, where the degree of membership of each input pixel to a fuzzy set is determined. Then, the fusion operators are applied to the fuzzified images. The fusion results are then converted back into pixel values using defuzzification. 1) Fuzzy sets: The

## Fuzzy Based Automated System For Predicting Viral Infections

1505 Words | 7 PagesFuzzy based Automated System for Predicting Viral Infections(Chicken Pox, Swine Flu and Dengue) Ravinkal Kaur Dept. of computer science and engineering CTITR Jalandhar, India ravinkal93@gmail.com Sarabjit Kaur Assistant Professor Dept. of computer science and engineering CTITR Jalandhar, India er_sarabjitkaur35@rediffmail.com Virat Rehani Assistant Professor Dept. of computer applications CTIMIT Jalandhar, India vrehani@yahoo.com Abstract— Health protection is the improvement of health

## The Fuzzy Inference Rules ( Rule Block )

1220 Words | 5 PagesNow we define the fuzzy inference rules (Rule Block -1 –RB1) to the first four parameters mentioned in the table no -1 as inputs with the physical quality of the water as output in the following way using Mamdani method Table -2 Output result from the application of IF –THEN rules,with membership function. Now we define the fuzzy inference rules (Rule Block -2 –RB2) to the next five parameters mentioned in the table no -1 as inputs with the chemical quality of the water as output in the following

## How The Quality Of Water Affected By The Parameter

807 Words | 4 Pagesrelative poor hardness during summer. 6.0 FUZZY LOGIC CONTROL SYSTEM A fuzzy control system is control system based on fuzzy logic, a mathematical system that analyses analogy input values in terms of logical variables that take on values between 0 - 1. Fuzzy logic is widely used in machine control. The term fuzzy refers to the fact that the logic involved can deal with concepts that cannot be expressed as the true or false but rather as partially true. Fuzzy logic becomes more popular due to dealing with

### Seminar Report on Fuzzy Logic

6250 Words | 25 Pages### Fuzzy Logic Technique For Pq Improvement

3198 Words | 13 Pages### Fuzzy Logic Is a Way to Deal with Imprecise Concepts Essay

1147 Words | 5 Pages### Analysis Of Perturb & Observe, Incremental Conductance & Fuzzy Logic Controller

1939 Words | 8 Pages### Haack On Fuzzy Logic Essay

2787 Words | 12 Pages### Brief Explanation of the Basic Framework of the Principal Componant Analysis and Fuzzy Logic

573 Words | 3 Pages### Image Fusion Technique Based on PCA and Fuzzy Logic Part 2 Essay

653 Words | 3 Pages### Fuzzy Based Automated System For Predicting Viral Infections

1505 Words | 7 Pages### The Fuzzy Inference Rules ( Rule Block )

1220 Words | 5 Pages### How The Quality Of Water Affected By The Parameter

807 Words | 4 Pages