Fuzzy Logic = Computing with Words

1999 ◽  
pp. 3-23 ◽  
Author(s):  
Lotfi A. Zadeh
Keyword(s):  
Fuzzy Logic ◽  
Computing With Words

A FORMALISM FOR REPRESENTING AND REASONING WITH LINGUISTIC INFORMATION

2002 ◽  
Vol 10 (03) ◽  
pp. 281-307 ◽  
Author(s):  
TRU H. CAO
Keyword(s):  
Artificial Intelligence ◽  
Fuzzy Logic ◽  
Natural Language ◽  
Functional Relation ◽  
Computing With Words ◽  
Conceptual Graphs ◽  
Graph Language ◽  
Conceptual Graph ◽  
Knowledge Representation Language ◽  
Representation Language

Conceptual graphs and fuzzy logic are two logical formalisms that emphasize the target of natural language, where conceptual graphs provide a structure of formulas close to that of natural language sentences while fuzzy logic provides a methodology for computing with words. This paper proposes fuzzy conceptual graphs as a knowledge representation language that combines the advantages of both the two formalisms for artificial intelligence approaching human expression and reasoning. Firstly, the conceptual graph language is extended with functional relation types for representing functional dependency, and conjunctive types for joining concepts and relations. Then fuzzy conceptual graphs are formulated as a generalization of conceptual graphs where fuzzy types and fuzzy attribute-values are used in place of crisp types and crisp attribute-values. Projection and join as basic operations for reasoning on fuzzy conceptual graphs are defined, taking into account the semantics of fuzzy set-based values.

Applying Fuzzy Logic and Fuzzy Methods to Marketing

2012 ◽  
pp. 1056-1068
Author(s):  
Laurent Donzé ◽  
Andreas Meier
Keyword(s):  
Fuzzy Logic ◽  
Customer Relationship Management ◽  
Relationship Management ◽  
Customer Relationship ◽  
Future Research ◽  
Computing With Words ◽  
Linguistic Variables ◽  
Research Directions ◽  
Fuzzy Methods ◽  
Future Research Directions

Marketing deals with identifying and meeting the needs of customers. It is therefore both an art and a science. To bridge the gap between art and science, soft computing, or computing with words, could be an option. This chapter introduces fundamental concepts such as fuzzy sets, fuzzy logic, and computing with linguistic variables and terms. This set of fuzzy methods can be applied in marketing and customer relationship management. In the conclusion, future research directions are given for applying fuzzy logic to marketing and customer relationship management.

Towards a general type-2 fuzzy logic approach for Computing With Words using linear adjectives

2012 ◽  
Author(s):  
Aysenur Bilgin ◽  
Hani Hagras ◽  
Areej Malibari ◽  
Mohammed J. Alhaddad ◽  
Daniyal Alghazzawi
Keyword(s):  
Fuzzy Logic ◽  
General Type ◽  
Computing With Words ◽  
Fuzzy Logic Approach ◽  
Logic Approach

Fuzzy logic = computing with words

1996 ◽  
Vol 4 (2) ◽  
pp. 103-111 ◽  
Author(s):  
L.A. Zadeh
Keyword(s):  
Fuzzy Logic ◽  
Computing With Words

scholarly journals Computing with words using intuitionistic fuzzy logic programming

2018 ◽  
Vol 7 (1.9) ◽  
pp. 178 ◽  
Author(s):  
Ashit Kumar Dutta
Keyword(s):  
Fuzzy Logic ◽  
Natural Language ◽  
Language Processing ◽  
Heavy Traffic ◽  
Computing With Words ◽  
Computational Theory ◽  
Machine Perception ◽  
Intuitionistic Fuzzy Logic ◽  
Better Than ◽  
Real World Problems

Computing with words is the terminology to indicate a set of numbers and words.It is the base for natural language processing and computational theory of perceptions.It is the art to combine both human and machine perception and find a solution for the real world problems left unsolved due to improper mechanism.Animal voice interpreter, lie detector, driving a vehicle in heavy traffic, and natural language interpreter are the applications need to be automated for the next generation.The computational theory is a group of perceptions used to express propositions in a natural language.The concept of the research is to utilize intutionistic fuzzy logic to interpret perceptions to solve vague problems.The output of the research shows that the performance of proposed method is better than the existing methods.

scholarly journals Foreword

2011 ◽  
Vol 6 (3) ◽  
pp. 385 ◽  
Author(s):  
L.A. Zadeh
Keyword(s):  
Fuzzy Logic ◽  
Natural Language ◽  
Language Processing ◽  
Extension Principle ◽  
Computing With Words ◽  
World Knowledge ◽  
Special Issue ◽  
Large Measure ◽  
Natural Languages ◽  
Computer Scientists

<p>I feel honored by the dedication of the Special Issue of IJCCC to me. I should like to express my deep appreciation to the distinguished Co-Editors and my good friends, Professors Balas, Dzitac and Teodorescu, and to distinguished contributors, for honoring me. The subjects which are addressed in the Special Issue are on the frontiers of fuzzy logic.<br /> <br /> The Foreword gives me an opportunity to share with the readers of the Journal my recent thoughts regarding a subject which I have been pondering about for many years - fuzzy logic and natural languages. The first step toward linking fuzzy logic and natural languages was my 1973 paper," Outline of a New Approach to the Analysis of Complex Systems and Decision Processes." Two key concepts were introduced in that paper. First, the concept of a linguistic variable - a variable which takes words as values; and second, the concept of a fuzzy if- then rule - a rule in which the antecedent and consequent involve linguistic variables. Today, close to forty years later, these concepts are widely used in most applications of fuzzy logic.<br /> <br /> The second step was my 1978 paper, "PRUF - a Meaning Representation Language for Natural Languages." This paper laid the foundation for a series of papers in the eighties in which a fairly complete theory of fuzzy - logic-based semantics of natural languages was developed. My theory did not attract many followers either within the fuzzy logic community or within the linguistics and philosophy of languages communities. There is a reason. The fuzzy logic community is largely a community of engineers, computer scientists and mathematicians - a community which has always shied away from semantics of natural languages. Symmetrically, the linguistics and philosophy of languages communities have shied away from fuzzy logic.<br /> <br /> In the early nineties, a thought that began to crystallize in my mind was that in most of the applications of fuzzy logic linguistic concepts play an important, if not very visible role. It is this thought that motivated the concept of Computing with Words (CW or CWW), introduced in my 1996 paper "Fuzzy Logic = Computing with Words." In essence, Computing with Words is a system of computation in which the objects of computation are words, phrases and propositions drawn from a natural language. The same can be said about Natural Language Processing (NLP.) In fact, CW and NLP have little in common and have altogether different agendas.<br /> <br /> In large measure, CW is concerned with solution of computational problems which are stated in a natural language. Simple example. Given: Probably John is tall. What is the probability that John is short? What is the probability that John is very short? What is the probability that John is not very tall? A less simple example. Given: Usually Robert leaves office at about 5 pm. Typically it takes Robert about an hour to get home from work. What is the probability that Robert is home at 6:l5 pm.? What should be noted is that CW is the only system of computation which has the capability to deal with problems of this kind. The problem-solving capability of CW rests on two key ideas. First, employment of so-called restriction-based semantics (RS) for translation of a natural language into a mathematical language in which the concept of a restriction plays a pivotal role; and second, employment of a calculus of restrictions - a calculus which is centered on the Extension Principle of fuzzy logic.<br /> <br /> What is thought-provoking is that neither traditional mathematics nor standard probability theory has the capability to deal with computational problems which are stated in a natural language. Not having this capability, it is traditional to dismiss such problems as ill-posed. In this perspective, perhaps the most remarkable contribution of CW is that it opens the door to empowering of mathematics with a fascinating capability - the capability to construct mathematical solutions of computational problems which are stated in a natural language. The basic importance of this capability derives from the fact that much of human knowledge, and especially world knowledge, is described in natural language.<br /> <br /> In conclusion, only recently did I begin to realize that the formalism of CW suggests a new and challenging direction in mathematics - mathematical solution of computational problems which are stated in a natural language. For mathematics, this is an unexplored territory.</p>

AN APPROACH TO ANALYZE RISKS BY COMPUTING WITH WORDS

2011 ◽  
Vol 07 (01) ◽  
pp. 89-103
Author(s):  
CHONGFU HUANG
Keyword(s):  
Fuzzy Logic ◽  
Probability Distribution ◽  
Natural Language ◽  
Fuzzy Sets ◽  
Cartesian Product ◽  
Computing With Words ◽  
Suggested Approach ◽  
Random Uncertainty ◽  
Risk Source

The information coded in natural language is called natural language information. It can be employed to analyze risks by computing with words. The disjunction and Cartesian product of fuzzy sets are the basic arithmetics to compute a probability distribution representing the random uncertainty of the risk source. An approach to infer a risk with words is to represent the risk system by using probabilistic and possibilistic constraints. In this paper, with fuzzy logic, we give a sample to verify that the suggested approach is more flexible and effective.

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