Fuzzy Pattern Recognition

Fuzzy.pattern.recognition.has.emerged.almost.at.the.time.fuzzy.sets.came.into.existence..One.of.the.first. papers.authored.by.Bellman–Kalaba–Zadeh.[BKZ66].has.succinctly.highlighted.the.key.aspects.of.the. technology.of.fuzzy.sets.being.cast.in.the.setting.of.pattern.recognition..Since.then.we.have.witnessed. a.great.deal.of.developments.with.a.number.of.comprehensive.review.studies.and.books.[P90,K82]..The. recent.years.saw.a.plethora.of. studies. in.all.areas.of.pattern.recognition. including. the.methodology,. algorithms,.and.case.studies.[T73,R78,D82,LMT02]. Our.key.objective.is.to.discuss.the.main.aspects.of.the.conceptual.framework.and.algorithmic.underpinnings.of.fuzzy.pattern.recognition..The.key.paradigm.of.pattern.recognition.becomes.substantially. augmented.by.the.principles.of.fuzzy.sets..There.are.new.developments.that.go.far.beyond.the.traditional. techniques.of.pattern. recognition.and.bring. forward.novel. concepts. and.architectures. that.have.not. been.contemplated.so.far. It.is.assumed.that.the.reader.is.familiar.with.the.basic.ideas.of.pattern.recognition.and.fuzzy.sets;. one.may.consult.a.number.of.authoritative.references.in.these.areas.[DHS01,F90,PG07,H99,B81]..As. a.matter.of.fact,.one.can.position.the.study.in.a.more.comprehensive.setting.of.Granular.Computing. [BP03a,PB02]. in.which. fuzzy.sets.are. just. instances.of. information.granules..A.number.of.results. in. fuzzy.pattern.recognition.can.be.extended.to.the.granular.pattern.recognition;.throughout.the.text.we. will.be.making.some.pertinent.observations.with.this.regard. 22