✦ LIBER ✦

General theory on fuzzy subgroupoids with respect to a t-norm T

✍ Scribed by Jiang Hao

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 108 KB
Volume: 117
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00340-6

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we develop a general theory on fuzzy subgroupoids with respect to a t-norm T which includes many known concepts and results as its special cases. Particular attention is paid to the fuzzy subgroupoids induced by a probability space. The associative law and the existence of inverse elements are characteristic properties of a group. However, we found that they did not play an essential role in the approach of Anthony and Sherwood (Fuzzy Sets and Systems 7 (1982) 297-305). Therefore, by making some technical improvements, we show that the approach of Anthony and Sherwood can be successfully applied to deal with fuzzy subgroupoids and obtain similar results.

📜 SIMILAR VOLUMES

The determinant of a fuzzy matrix with r

The determinant of a fuzzy matrix with respect to t and co-t norms

✍ Rohan Hemasinha; Nikhil R. Pal; James C. Bezdek 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 559 KB

We study determinants of square matrices over the interval [0, 1] when ordinary multiplication is replaced by a triangular norm and ordinary addition is replaced by a triangular conorm.

Fuzzy t-conorm integral with respect to

Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral

✍ T. Murofushi; M. Sugeno 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 610 KB

A general concept of fuzzy connectives,

A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms

✍ Siegfried Weber 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 852 KB

All known connectives 'aod'l'or' for fuzzy sets or some classes can be introduced as t-noms/t-cooorms, where Liog's representation theorem is used as a basic tool, and which is illustrated by various known and new examples (Section 2). Given a strict negation function and one connective, the other c

Applying fuzzy GERT with approximate fuz

Applying fuzzy GERT with approximate fuzzy arithmetic based on the weakest t-norm operations to evaluate repairable reliability

✍ Kuo-Ping Lin; Wu Wen; Chang-Chien Chou; Chih-Hung Jen; Kuo-Chen Hung 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 774 KB

A note to the addition of fuzzy numbers

A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm

✍ Andrea Marková-Stupňanová 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 285 KB

A simple method of computing the T-sum of special types of fuzzy numbers is introduced. For the Lukasiewicz t-norm TL the proposed method can be applied to the addition of fuzzy numbers with convex membership functions. The classes of fuzzy numbers leading to @-idempotents are studied for continuous

On the sequence of consecutive powers of

On the sequence of consecutive powers of a fuzzy matrix with max-Archimedean-t-norms

✍ Chin-Tzong Pang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In the literature, the limiting behavior of powers of a fuzzy matrix has been studied with max-product composition. Pang and Guu proposed a simple and e ective characterization for the limiting behavior with the notion of asymptotic period. In this paper, we shall extend Pang and Guu's work to the r