✦ LIBER ✦

Fuzzy functions and their fundamental properties

✍ Scribed by Mustafa Demirci

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 473 KB
Volume: 106
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00280-7

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, it is noticed that the definition of fuzzy equality of Sasaki ( 1993) is not concordant with that of Es and Coker (1995) and Sostak (1985, 1988). Furthermore, the construction of fuzzy equality and fuzzy function is far from the way of natural fuzzification. For this purpose, the fuzzy equality of two points of a crisp set which is more convenient than that in Es and Coker (1995) and Sostak (1985, 1988) and the fuzzy function having weaker conditions than that is given in Sasaki (1993) are redefined in much more natural way. Then various types of fuzzy functions are introduced and their fundamental properties are established.

📜 SIMILAR VOLUMES

Fuzzy Functions and Their Applications

✍ Mustafa Demirci 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 157 KB

Fundamental properties of multivalued kl

Fundamental properties of multivalued kleenean functions

✍ Noboru Takagi; Masao Mukaidono 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 744 KB

## Abstract In the real world, there are many propositions which cannot be determined to be true or false. In order to treat such propositions, multivalued logic systems which are permitted to take more than true (1) or false (0) values have been developed. In this paper, we will describe fundament

Fuzzy continuous function and its proper

Fuzzy continuous function and its properties

✍ Zhang Guang-Quan 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 503 KB

Fuzzy-valued Markov processes and their

Fuzzy-valued Markov processes and their properties

✍ Liu Puyin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 506 KB

If F denotes a set-valued random variable, we establish the relations among a-algebras induced by F. By the set-valued Markov process, we define the fuzzy-valued Markov process, and give its Castaing representation. Finally, we obtain a few of equivalent conditions of set-valued Markov processes and

Fuzzy relations and fuzzy functions

✍ William C. Nemitz 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 665 KB

Algorithms to extend crisp functions and

Algorithms to extend crisp functions and their inverse functions to fuzzy numbers

✍ O. G. Duarte; M. Delgado; I. Requena 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB

In this article we present an algorithm to extend continuous crisp functions to fuzzy numbers using the extension principle; the functions must be monotonically increasing in some of the arguments and monotonically decreasing in the others. Then, we present two different solutions to the problem of