**Table Of Contents**

B.Tech AKTU Quantum Book delves into the practical Application of Soft Computing. Learn about significant applications, frequently asked questions, and important takeaways for mastering this cutting-edge technology. **Unit-3 Fuzzy Logic-I (Introduction)**

Dudes 🤔.. You want more useful details regarding this subject. Please keep in mind this as well.Important Questions For Application of Soft Computing:*Quantum*B.tech-Syllabus**CircularsB.tech*AKTU RESULTBtech 3rd Year*Aktu Solved Question Paper

**Q1. Define fuzzy logic and its importance in our daily life. What is role of crisp sets in fuzzy logic ?**

**Ans. **

- 1. Fuzzy logic is a computing approach focused on “degrees of truth” rather than “true or false” (1 or 0).
- 2. Fuzzy logic contains the extreme situations of truth, 0 and 1, as well as the different states of truth in between.
- 3. Fuzzy logic enables the incorporation of human judgements into computing problems.
- 4. It provides an effective method for resolving numerous criterion conflicts and better assessing options.

**Importance of fuzzy logic in daily life: **

- 1. Fuzzy logic is required for Al to achieve human-like capabilities.
- 2. It is used to create intelligent systems for decision making, identification, optimisation, and control.
- 3. Many persons interested in research and development, such as engineers, mathematicians, computer software developers, and researchers, find fuzzy logic incredibly beneficial.
- 4. Fuzzy logic has been employed in a wide range of applications, including facial recognition, air conditioners, hoover cleaners, weather forecasting systems, medical diagnostics, and stock trading.

**Role of crisp sets in fuzzy logic:**

- 1. It contains the precise location of the set boundaries.
- 2. It provides the membership value of the set.

**Q2. Define classical set and fuzzy sets. State the importance of fuzzy sets.**

**Ans. Classical set:**

- 1. A classical set is a grouping of different things.
- 2. In a set, each unique entity is referred to as a member or an element of the set.
- 3. The classical set is defined in a way that divides the universe of discourse into two groups: members and non-members.

**Fuzzy set:**

- 1. Fuzzy set is a set having degree of membership between 1 and 0.
- 2. Fuzzy sets Ā in the universe of discourse U can be defined as set of ordered pair and it is given by

Where μ_{A} is the degree of membership of x in Ā

**Importance of fuzzy set:**

- 1. It is used for the modeling and inclusion of contradiction in a knowledge base.
- 2. It also increases the system autonomy.
- 3. It act as an important part of microchip processor-based appliances.

**Q3. Consider three fuzzy sets given by: **

**A = ((low, 1), (medium, 0.2), (high, 0.5) **

**B = {(positive, 0.9), (zero, 0.4), (negative, 0.9)}**

**C = {(low, 0.1), (medium, 0.2), (high, 0.7)} **

**i. Find the fuzzy relation for the Cartesian product of A and B. **

**ii. Find CoR using max-min composition. **

**Ans. **

**Q4. Compare and contrast classical logic and fuzzy logic. **

**Ans. **

S. No. | Crisp (classical) logic | Fuzzy logic |

1. | In classical logic an element either belongs to or does not belong to a set. | Fuzzy logic supports a flexible sense of membership of elements to a set. |

2. | Crisp logic is built on a 2-state truth values (True/False). | Fuzzy logic is built on a multistate truth values. |

3. | The statement which is either True’ or ‘False’ but not both is called a proposition in Crisp logic. | A fuzzy proposition is a statement which acquires a fuzzy truth value. |

4. | Law of excluded middle and law of non-contradiction holds good in crisp logic. | Law of excluded middle and law of contradiction is violated. |

**Q5. Write short notes on fuzzy arithmetic.**

**Ans. **

- 1. Fuzzy arithmetic is a generalisation of interval arithmetic in which, rather than evaluating intervals at a single fixed level, many levels in [0, 1] are examined.
- 2. This is due to the fact that a fuzzy set allows for a degree of membership for a universal set element.
- 3. It is useful in many applications, including fuzzy control, decision making, approximation reasoning, optimisation, and statistics with imprecise probabilities.

**Q6. Write note on partition and covering.**

**Ans. Partition:**

- 1. A partition on set A is defined to be a set of non-empty subsets A, each of which is pair-wise disjoint and whose union yields the original set A.
- 2. Partition on set A is indicated as π (A), therefore

3. The members A_{i} of the partition are known as blocks.

**Covering:**

1. A covering on set A is defined to be a set of non-empty subsets A_{i}, whose union yields the original set A.

2. The non-empty subsets need not to be disjoint.

**Important Question with solutions | AKTU Quantums | Syllabus | Short Questions**

**Application of Soft Computing** Btech Quantum PDF, Syllabus, Important Questions

**Application of Soft Computing**Btech

Label | Link |
---|---|

Subject Syllabus | Syllabus |

Short Questions | Short-question |

Question paper – 2021-22 | 2021-22 |

**Application of Soft Computing** Quantum PDF | AKTU Quantum PDF:

Quantum Series | Links |

Quantum -2022-23 | 2022-23 |

## AKTU Important Links | Btech Syllabus

Link Name | Links |
---|---|

Btech AKTU Circulars | Links |

Btech AKTU Syllabus | Links |

Btech AKTU Student Dashboard | Student Dashboard |

AKTU RESULT (One VIew) | Student Result |